Sure, I get what you're saying. I kind of read all that into that into the phrase "desiring someone." Desiring you for you, indeed.

I also differentiate it from "needing" someone. I had an ex who kept telling me he "needed" me and I told him I'd rather that he "wanted" me. Feeling needed can be flattering if you're young, naive, and have a Savior complex, but feeling wanted and desired is so much better.