Re-watching last night's game between the Mystics and the Sun, it appears to me that Aaliyah is in a competition for Washington's starting position with none other than Stef Dolson -- Husky-Husky conflict.
One definite problem with Aaliyah getting more minutes (she got 19 last night) is that she hasn't rebounded at all in her first two games (she got 0 rebounds last night). And there is also the fact that she doesn't yet have a 3-point shot, in contrast to Stef and Hines-Allen, who both hit threes last night.
She isn't going to fix the shooting deficiency this summer, but she should be able to rebound in the WNBA. If she starts rebounding, I think she will become the starting 4 and get 25-30 minutes per game.