In theory maybe, but in reality Primal's UX is an order of magnitude more clunky than even an indie atproto client thrown together by a single dev in a few days. Many things are touch-and-go on Primal, and common traditional UX features are missing outright.
This is because Primal still has a long and messy list of tasks it has to get done in the background and it has to do all of this itself, it can't rely on shared protocol infrastructure that makes things easier and smoother for everyone.
For Primal to get to the level of smoothness and consistency of even the most thrown-together atproto client of today would take years, and the result would be absolutely massive cloud costs versus what the atproto client is paying today.