Would he have forsaken them?

[Eomer of the Rohirrim]

But the real Frodo is willing to sacrifice himself for the good of Middle-earth. Elijah-Frodo seems more preoccupied with hoping that he himself will be alright.

I wouldn't normally call that behaviour selfish (in such an extreme situation as Frodo found himself in) but he came across as more self-interested than he should have.