Ultimately it's up to the DM to make a decision on how people would react in their campaign world. So it's going to vary from campaign to campaign, DM to DM. When I say not to tabaxi or drow PCs it's not because I'm a control freak. It's because I want the campaign world to be logical and allowing PC's that a large chunk of the world would view as monsters is something I don't think would be fun for the group or the player.
See, I'll admit that I am kinda a control freak, about the world I'm creating. It needs to make sense to me, feel coherent in my head, for me to feel comfortable making stuff up to build on it. There are playable folk that don't make sense on my world, and others that in the world's history have been extirpated. Even with a fairly tight, curated list, there are nearly thirty types of playable folk on my world; I don't feel as though I'm being overly restrictive by disallowing (to pick four) drow, duergar, kenku, and tabaxi.