Yes and no IMO. In the current players at SC, I don't think a single one was a top 25 kid coming out of HS. This means that in their current class, and classes ahead of A'ja, there is no one on the team who could possibly help them make it to the final 4, never mind make a deep run in the NCAA's.
It would be up to Dawn to convince A'ja that "if you come, then top 10 kids from 2015 and beyond will come". Someone mentioned that she convinced Bone to come to SC, and she was a top 5 kid, and she also landed Dupree when she was at Temple. But other than that, she's never gotten a consistent bunch of top players to come play for her. If A'ja has any desire to win a NC, or make a deep run to a final 4, during her college career, I'd say UNC would be a much better choice than SC. Obviously UCONN would be the best choice...