At the rate they're going I expect a problem to happen on Stargirl soon as well. They said the same thing about Batwoman and Supergirl last year and look what happened there. I wouldn't expect much. Arrowverse is on life support and fading fast.
I think one of the reasons Stargirl worked so well is because it wasn't connected to the rest of the Arrowverse. It gave them the freedom to build a wide new world without having to worry about bumping up against the rest of the shared universe.
I hope they keep that distance and resist the temptation to bring the show closer to the others.