It would benefit them for sure.
One of the sad fact is, English players somehow find it hard to shine in other leagues (esp. La Liga, SerieA). The other way around is however true. like for Italian, Spanish, Brazilian etc... they always shine in EPL.
The names you mentioned are the few exception who could make it outside.
Another important fact is, beside football wise, in EPL, football atmosphere, wages, ... are pretty on top for a footballer, English player wouldn't want to go anywhere else. IMO
More English players went abroad? Especially to places like Germany, Spain, Italy and France. Do you think it would be more beneficial for them in these international competitions? I am still in shock to see them get knocked out so early in the WC.
Here is an interesting fact: since the Premier League began only Fraser Forster, David Beckham and Owen Hargreaves make up the sum total of those who have had to be called back home for World Cup duty.
"It would bring life lessons and footballing lessons – broader minds might make for broader on-field vision"- Robert Scott-Elliot, Independent