Personally, I prefer things to be done in a more formal way, but then again I don't get my hair and nails done, in part because I don't like the atmosphere of many salons--the intimacy always feels forced to me.
But if you're happy with the results, the atmosphere, and the price you're paying for that, especially having experienced dissatisfaction at other places, I don't think you need to look for reasons to change. It might be useful to find out exactly what products she's using and look them up online, so you can know for the future should you have to tell a new person. And if in the course of doing that research, you discover something that feels shady, you can decide what to do next.