One of the risks is places serving lobster that's langostine vs. Maine. I don't like langostine, so I avoid it if it doesn't specify Maine. I haven't personally tried it, but I see Paddlefish has several Maine Lobster options on their menu and one of them actually lists the pre-cook weight...which is usually a better sign when going to a place serving lobster.
I know
@Nemo14 noted that Disney gets their lobster from SE Asia, and while this may currently be true, this was not always the case. When I lived in FL back in the 90s, I worked for a seafood place (combo restaurant/deli/distributorship) and they had the Disney lobster contract for a while (eventually some of the other seafood too). I know the owner folded at some point after I moved on, so I know they are no longer the source, but I know it was a US based source for at least a while. As for their sources, it was a family operation where several of the brothers were still up in the Boston area, got the fresh live lobster up there, and got everything down to FL to move through the central distribution site before moving it to commercial clients like Disney.