The guys you list traveled back in time and joined the X-Men. (Except for Cable–he never quite became an actual X-Man.)

Eva Bell joined the X-Men and then traveled back in time.

She didn’t join the X-Men in 1963 (or whatever 1963 is with the sliding timeline.)

This doesn’t seem hard to fathom to me. But I’m not invested in whatever point you’re trying to prove, so…