I fairly sure there is no me first attitude in the England squads. I think they play petrified. They play OK-ish when they have average opposition against them, hence they win occasionally, but when they have a team of real quality and/or organisation in front of them they fall apart. That's not borne of the selfish individual attitude. It's borne of a team that plays with almost zero confidence when properly challenged.
The funny thing, I'd like them to have a little me first in them. It might breed a little confidence. Not one of them is confident enough to take hold of a game. Not one of them is a leader. Look at what happens when an England player scores a goal, either in a tournament or against good opposition in qualification. The team celebrate like they've won a championship. It's because, despite their misgivings, against all personal doubts, they've managed to achieve something. If a team, that is used to achieving, scores a goal, they celebrate, yeah, but it's not frantic. They realise there's a mission to be completed.
So like I've said [I feel like a zillion times] before, on this and references in the past, don't mistake fright in competition for an uncaring attitude. I have no doubt that, in the main, England players care enough. They are also good enough to reach semi-finals, perhaps even finals, if properly managed. But they play petrified and can achieve nothing in that condition.