HELL YEAH I’d care.
Shit, I wouldn’t even want them to go to the bathroom while we were swapped.
Where is your consciousness while your body is bumpin’ uglies across the universe? Do you realize what’s happening, as it’s happening, or do you remember it later? Or is your mind in limbo for however long it takes?
It’s a mind swap. You’re in his or her body, and they’re in yours. And no, you don’t remember anything that happen in your body.
I see - thanks. Well… I suppose I might consent to it, for a friend who had no other way to enjoy sex with his (or her) beloved from afar, but I wouldn’t want just anybody to do just anything with my body. I’d want some clear ground rules with someone in whom I had a great deal of trust. It’s the only body I’ve got, after all!
I don’t think I would care too much. I’m hetero and would expect for them
to have hetero sex as far as bodies are concerned. I would prefer swapping
bodies with a woman if possible. Average looking would be fine. It would be
interesting to have sex with her SO and check out her closet. 
Just so long as they don’t have sex with a zombie…
That was the kind of tricky thing about SG: Universe, where they used the stones a lot: it wasn’t made clear that the Earth-side volunteers realized that there was the potential for hanky-panky, at least not at first.
Rupert! When I come home from space, if there’s cum in my eye again, somebody’s gonna be in BIG TROUBLE!
I don’t want people taking over my body, even if it’s just to quietly read a book in a couch. No way.
You know, in case that ever becomes a possibility in the future, I’m leaving this here in writing.
Oh crap. The search function was down.
Sorry. I didn’t know.
-Hamlet (from the year 2213).
Why are all these dead gerbils all over my house?!!
EDIT:Whoops, I already answered years ago, least my answer was the same.
It’s volunteer and I’d know who I’m swapping with so why not? Plus I get to pop onto a ship millions of lys away? Not even a question.
I want some form of payment…and I want to be able to withhold consent.
Otherwise, for aesthetic reasons, shrug. No grave objection.
Not necesarily. You might be popping in FROM a ship LY’s away. And generally, least on the shows, you don’t have any knowledge of who’s being swapped with you.