The Breen Machine
Striker
He is British full stop. That is by virtue of his parentage and this is backed up by the passport he has. They dont just hand them out like confetti
Likewise Ben Stokes, Had the majority of his childhood in New Zealand with a Kiwi father. Therefore using your argument he's "not really English" either. Are you comfortable with him representing England and being vice-captain?
I'm more comfortable with Stokes as he came through English junior systems, Archer hasn't.