You don’t need expertise to do a thing well.
Doing a thing well means doing it consistently. d20 resolution just isn't well suited to that, BA makes it even harder to get remotely right.
5e has two solutions to that. 1) the DM simply narrates success without calling for a check. 2) Expertise.
But for the long time groups that play together (maybe with partial turn-over as the years go on), is it uncommon to try multiple things?
My personal experience in a succession of groups over the decases has been that people do want to play other games, but it's usually one person really in love with that other game, and everyone else indifferent to or one or two even repelled by it. I ran AD&D for 10 years, for a group of players most of whom would have each been happier playing something else - V:tM, GURPS, Champions, Shadowrun, Battletech ("dude, it's not even an RPG" "Hey, guess what's out
Mechwarrior!"

, and I don't remember what all else...) ... we did play a variety of games, but no one of them very long, since the ethusiast wouldn't be able to keep up the effort of running it... OK, actually, we did manage some Champions, back then, round-robin GMing in a shared world . By the end of that campaign, the remaining players (and some new ones) were down with Champions and Storyteller (shared-world, again), and that lasted, oh, 5-7 years, maybe....
Then, new group, 3.0 ... (and then I was That One Guy who kept insisting on running Champions...)