I was told by a pro jazz drummer very early on to leave the snares on. I obey Master!
People used to tell me it strains the snare wires, you should turn off when not in use.
But I trusted the man.
One guy said, what's the diff? when they're on, they're on, when they're off, they're off.
As I thought about that, tho, there's also when they're being stretched, and when they're being released. That's the moment of greatest stress.
So I still leave them on, only take them off when I need the snare-off sound.
I've only owned three snares, still got two, one is an Olympic from early 70s.
The other is a Ludwig super sensitive from late 70's/early 80's.
I've always left the snares on, never had a problem, they both still sound good.
(Luddy is better, of course!!)
The point about them being less likely to get snagged is a good one too. And I always have something between the snare head and the side of the case.
Terry