I'm not entirely sure, I can't seem to find some solid information about what you can still do on generations prior to 6 when the servers get shutdown. I would assume it's still possible to get Pokemon from even Emerald to X and Y by (off the top of my head):
First: Emerald/Sapphire/Ruby/Fire Red/Emerald -> -Palpark- -> (Pearl/Diamond/Platinum)
Then: (Pearl/Diamond/Platinum/Soul Silver/(Something) Gold) -> Relocator/Transfer Lab? -> Black/White/Black2/White2
Finally: Black/White/Black2/White2 -> (Poke transfer & bank) -> X and Y
All of which do not require connection to the soon-to-be-closed servers, but rather at least 2 DS' (maybe 1 DS that can play GBA games, and 1 3DS); I THINK anyways. If the above does work, then I don't see a problem with playing older generations.
OT:
My type in fs is rock type. Can't remember which ones though.