Were classical composers more of the 'exceptions' rather than the common?

There are three related questions regarding this:
1. Were classical composers, especially the great ones like you know, ie: Beethoven, Mozart, Bach, Handel, Haydn, etc, more of an ‘exceptions’ among the ‘ordinary, everyday’ people back at their times? or back then, there were so many composers/musicians?
or, probably still like now & always, the “musicians” back then were still probably like only 10% (or even less?) than the general, common jobs/occupations?

2. If you indeed think that it’s rare, then, do you think it’s also because of the lack of income & money thing also?
in other words, were classical composers/musicians back then also still somewhat regarded, by common society, as a path that shouldn’t be travelled, because it’s not relatively as ‘secure/safe’ (like the case of musicians as always) as the more ‘normal’ jobs like, say, business, law, even at those times?

3. lastly, do you think this ‘rarity’ of classical composers perhaps also attributes to, mostly, musical talents? (ie: it really depends on if you have the talent or not?)

thanks