No there are no inherent transmission problems on 1st gen FXs. As long as fluids have been changed routinely, You shouldnt have a problem. Not to say there couldnt be a random failure, as possible with any vehicle.
If your mechanic is comparing it to a Murano, i'd find another mechanic. The FX has a normal transmission. The Murano has a CVT. Two COMPLETELY DIFFERENT things. Never heard of any G tranny issues either.
If your mechanic is comparing it to a Murano, i'd find another mechanic. The FX has a normal transmission. The Murano has a CVT. Two COMPLETELY DIFFERENT things. Never heard of any G tranny issues either.