With the possible exception of Lyta any pre-relaunch birth kids of E2 heroes, especially JSA members, could be in the same danger
The easiest pre-relaunch ex-Infinitors to recreate as perhaps slightly younger peers could be those who were unrelated proteges, such as Al and Norda
But any possibility of this could depend not only on James' DC-approved plans but also if the E2 reaches enough of a measure of success to allow for that kind of expansion for the team and its members' lives to be justified!
I think Hector Hall would be somewhat easy to adopt into Earth-2 if they made him Dr. Fate and removed them from the Hawks's history. But I agree the ones who are related are going to be hard to bring into the fold.