It's something of a hypothetical as there aren't really any players that fall into the category. However, given that players generally want to compete at the highest level, I'm sure they would see England as offering that. I'd say the players who were toying with the idea of playing for Team GB at the Olympics would have been tempted had it been possible.
Souness said something to the effect of - If I'd been English, I would have had a lot more opportunities to play at the highest level.
Players are completely different to fans in their attitude to football, if they weren't they would all only ever play for the team the supported as a kid, or at least they would never play for a rival. We know this isn't the case.