I definitely think an AEW entrance is unlikely. Even if they told NJPW they couldn’t do a date to debut her on Collision, CMLL is also a partner of theirs and they could have theoretically found a date that would work to drop her titles.
I mainly respect Tony too much to assume he’d tell partners you couldn’t wait to use their talent until after she honored her dates. WWE did honor Karl’s dates, but they don’t necessarily have partnerships with these organizations like Tony does with both so could forgo that.