Bards show off their magic and abilities and go out of their way to hit up these places.
Could you get a quote that tells us all bards would show off their magic?
The vast majority of settings have had magic and wizards for thousands to tens of thousands of years. By the time the PCs are adventuring, the setting would be like Eberron.
Really? How soon after the invention of magic are PCs adventuring? I certainly haven't seen that anywhere in any book I've ever read.
I mean, after all, I could be running an adventure in Faerun during the time of the creator races, nothing really stops me from doing so after all.
And yes, in a certain point in a world's history, it would look like Eberron with magic being quite broadly common. At a certain point they would have space ships and AIs and be in our future too. Time works like that.
Again, these professions you are bringing up are not like Wizards and wouldn't generate the same level of interest. False Equivalences are false.
There is nothing like magic in the real world Max. That is why it is the thing we dream about.
With this position then everything we can ever say about Magic is impossible to equivalate to anything. If you want to turtle up behind that then I'm done talking, because you can just say "nuh-uh, magic isn't like that" to literally anything I say.
I'll just say...
(wait, I want to make sure I'm not near anything that might attract lighting)
...that Max has a point here. Or, at least, there is a point that can be extracted from Max's posts.
If you want a fantasy world in which wizards are rare and mysterious, you need some mechanism to explain why that would be true. If magic is as "easy" as 5e makes it appear to be, you would have a steadily increasing numbers of Wizards. After all, as
@Tony Vargas would happily tell you, Magic > All in 5e. And even if not, it's awfully useful and powerful.
See, but you don't actually need anything about magic for that to be the case.
Heck, let us say magic is as easy as teaching algebra. Then, a hundred years ago, a Demon Horde appeared and started killing anyone who knew magic and dragging their souls to the Abyss.
How many magic-users are in the setting at the start of your adventure a hundred years later?
Or, you can just say that magic is hard to learn and expensive. If it costs a million dollars to even attempt to learn from a mage, would you be able to afford it right now? A college education is actually out of the reach of most people in the country, that is why loan programs exist, because the majority of people who go to college can't actually afford it. Take away the loans, and have each wizard only take ona few apprentices, and boom, wizards are rare again, with no need for anything else.
Or you might rule that Wizards are, effectively, a guild, and maintain strict control over their trade "secrets". This is quite reasonable and feasible, in my mind. Not so different from the way certain swords, produced not by sole individuals but by secretive "guilds" (in deed if not in name) were so highly prized over the centuries. Whether Uthbert, Damascus, Toledo, or whatever, the smiths who made these blades taught their apprentices how to do it, but as a group maintained an iron grip on the trade secrets. (As an aside, it blows my mind that they even figured this stuff out, and how to replicate it, with zero understanding of the actual metallurgy and chemistry.). Wizards might do the same thing.
Or maybe it's just that teaching magic sucks up a tremendous amount of time. The Wizards aren't "secretive" so much as just really uninterested in spending 10,000 hours training somebody.
According to Max's arguments, these would both present the same problem,
Because those secret guilds would teach their families magic, and then those kids would teach their kids, and then everyone will know magic.
And the time doesn't matter, because in Max's example, everyone wants to learn magic and it doesn't matter how long it will take because magic is powerful and everyone wants it.
Whatever it is, if your world does not have an explanation for why magic is rare, I think Max is right in that you're either going to have more and more and more wizards (and maybe bards and clerics and what-not) or you're going to just have to live with an incongruity in your game world, similar to how it makes no sense that you can't easily and cheaply buy copying privileges to fill up your spell book, since there's no real "cost" to letting somebody copy your spells.
See, Max's point (as it has been presented to me) is that the only explanation for magic being rare that works is that you have to be born magical. If it can be taught, then everyone will learn it and use it by the time the adventure starts.
That is what I'm trying to argue against.