Suit yourself. As an England supporter I've long since been happy to support my national team regardless of where its members were born or even where they learned their cricket. Some of my favourite England players, both historical and modern, have been "foreigners" - Ranji, Tony Grieg, Robin Smith, Devon Malcolm, KP. If these players choose to come and play for my team rather than someone else's, bring it on. The more the merrier. England is an extraordinarily cosmopolitan country made up of, and enriched by, successive waves of immigrants, the vast majority of whom have come for financial / career reasons.
And this is no new phenomenon - you might think of Clarrie Grimmett, Reggie Schwarz, Archie Jackson and a host of others as immigrants who cheapened the national teams that they played for. I don't.