I don't think either side has the pull to keep any freelancers exclusive to one or the other promotion. If that were the case, they would just sign those wrestlers outright.
I'm a little underwhelmed by the ASGQ card so far. The top two matches should be good (with Momo/Maika being a "3 Stages of Hell" match), but really odd with 10 days left and a lot of the bigger names (Mina, Saya, Suzu, AZM, SLK, etc) without a match yet.