Thanks for your response!
To clarify, I definitely did not mean for name dropping, I agree with your view on that completely. I meant in the sense of establishing why I chose the writers that I did, how they influenced me. But from your explanation I know not to worry about mentioning my adviser now, so thank you! Obviously he will explain on his end the context of our relationship, so I don't need to.
To follow up on your other points, I have been under the impression that it is normal, if not encouraged in a sense, to include the names of PIs you've worked with. I have a lot of different research experience and I am including all of that in my SOP in order to explain how each prepared me along the way. Isn't it more appropriate to say "I joined Dr. Smith's ABCD Lab at U University, which studies XYZ. Here I learned .... which made me interested in...." Rather than saying "I joined a lab studying XYZ...." My view on this has been that it is best to be specific rather than vague, especially because then the reader can easily find this entry in your CV to find out more about the position. To be honest I have no idea whether they will know all of my PIs, that's not the reason I'm including them. Regardless, my CV makes it clear who I've worked under, but now I'm questioning my SOP format. The last thing I want is come off as grandiose, that's for sure!
Would love to get more of your feedback 🙂