I think Malta would still need single-engine fighters to defend it.I thought as much but I'm at work so don't have my books to hand. I was thinking that being able to fly out from the UK would make the Club Runs unnecessary as the planes could just fly in an then provide air cover to Malta
IIRC there were Beaufighter night fighters in Malta from early 1941. I don't see our fictional twin-engine fighter being sent any earlier than that.