I was going to ignore this and didn't want to respond right away because it's a pretty pointless argument but I wanted to set the record straight.
Serious with a small sprinkle of snark.
Let's review where this conversation stemmed.
Let's review what was actually said.
A poster declared that in his game a tabaxi would be lynched by locals who think he is related to a raksasha. Another poster made a comment that if they went to lynch him, they would burn the village down. Which lead to another poster stating in his game, both that powerful agents of the government would hunt that PCs down for the arson and presumably murder, and that locals would shun them and sent armies to stop them. My retort was that immediately the world somehow instantly knows it's the PCs who did it and the world reacted in concert to punish them. Which is what lead to a series of questions:
While I didn't give a detailed response to the first post which was a single sentence, I've clarified what I would do in my home campaign which you are ignoring. I would base any response to burning down a village on several factors. I should also note that I don't care why the village was burned down and I assume that not ever single individual from the toothless grandmother to the newborn baby residing in the village is responsible for the lynching.
1. How did the knowledge get out. Somehow, one or more people witnessed the event and were cognizant enough to gather the PCs names and faces, and then spread the word far and wide faster than the PCs can travel. Do they use magic like sending?
Why not? Magic exists and it would be logical for someone important in the village to have a sending stone to contact someone else in case of emergency or vice versa. If it wasn't magic, when the PCs started burning the village did they kill everyone in the vicinity and there's no chance of someone escaping? If so, how? Unless the PCs have a small army of hirelings, I see no way they could have stopped everyone.
2. When the word comes out, it's automatically believed. By peasants and lords alike. Does the adventurers not have a reputation? Have they not earned and good will saving other villagers or helping the local Lord? (I guess not, considering a village was willing to lynch a member for his species.) Why would they believe it was a group of adventurers and not local raiders (goblins or orcs or gnolls)? We have plenty of examples of someone being accused (creditably) of a crime and people refusing to believe it because they have a good opinion of that person, for good or ill.
Unless the group somehow massacred everyone in the village, everyone working in the fields, everyone who could possibly know what happened, why would people would let others know what happened. Why wouldn't it be believed? Traders stop by the town and see the smoking ruins and ask what happens - survivors tell them what they saw would be one logical way for the word to spread. Communities are connected by ties of family, friendship, culture.
I grew up in a small town and there was a bank robbery before I was born. Several people were able to give detailed descriptions of the robbers and their vehicle because everybody knew everybody and strangers stick out like a sore thumb.
3. Once the PCs are declared guilty by the community, all stops are removed to punish them. Armies, powerful NPCs from the government, etc make it their job to hunt them down. Where were these people when the PCs were wandering around doing adventures? Why are the suddenly available to hunt down the PCs when they weren't there to stop goblin raids or fight dragons or whatever the adventures were doing prior to the lynching? If they are powerful and civic minded, why aren't they arresting the BBEG?
I clarified my response on this because I wasn't clear in my initial one line response. Depends on the details of where the village is, what the local government it like, what the resources are. Word will likely spread and I'll judge the response based on that. Best case scenario for the PCs is that people are likely to recognize them as murderers or at least with suspicion - after all how many heavily armed small groups are running around the countryside? Depending on the area there may be wanted posters or the government may hire someone to track the group down and bring them to justice.
There are a lot of factors here and variance but it wouldn't be unreasonable for things to escalate to the point where a small army is hunting down the PCs. They may be powerful but I'm not going to limit the response to what I think the PCs can handle, I'm going to make the response fit the crime and the region. It could be anything from getting a bad reputation to being forced to pay a weregild (GP paid in compensation for the crime), jail, being hunted down, nothing at all. It will always be something that I judge logical for the crime and the region.
What players can't do in my game is assume that their actions have no consequences or that the consequences of their actions will always be something they can handle.
My reason for this of course is that the crime had a witness: the DM. The PCs are guilty of disrupting the campaign. First by playing the tabaxi who is hated and feared and second by retaliating against them in a destructive manner. The DM saw. The DM judged. The DM found them guilty and now the world in unified whole will carry out the sentence. And will do so until the DM feels justice is served. The crime cannot go unpunished and space and time will bend to make sure justice is served.
It has nothing whatsoever to do with disrupting the campaign. It's called having a living world that reacts and responds logically to the player's decisions. While it's only happened a couple of times and the players had plenty of warning of probable consequences, characters in my campaign have been hunted down tried for murder and even executed because they thought they could ignore the laws and get away with whatever they wanted. They have quite a bit of leeway most of the time but there are limits.
Player decisions change the course of campaigns all the time but they still live in a world where they can't assume they an get away with whatever they want to do.
It's a tale as old as time. The more a DM has invested in his world as an extension of himself, the more likely the world is going to act as one to punish the player who dared touch it without consent. And it's my experience that the more not focused the DMs vision is, the more severe the punishment for players who upset the vision.
Same old accusation that has is not true now and has never been true.