I think they are separate things. The better the UI is mastered, the stronger the UI state becomes. Goku when training with Merus, managed to become very strong in his Base forms and SSJs.
Goku and Vegeta increased their powers many times by training with Merus and Yadart respectively, while I don't think UI Goku (Moro) is more than twice as powerful as UI Goku (ToP).