As long as animals act like chop and they are synced for everybody why not. No one would want to see John_Doe say to his dog "sit" and the same dog glitch and fly to a different universe.
It depends on how the lore is going to be set up. You can RP LS and all the other normal US states. You can RP LS, LC, SF, LV and the rest of the US States... Up to the lore