If I were going into primary care I would refer to you. It would only be for patients I highly suspected that would need biopsy. I would be highly suspicious to send you hair or rash issues. I would like to think a derm has enough clinical experience to differentiate these issues and be the preferred referral. However, moles, from my understanding almost always get biopsied. I know there are busy enough pcp's out there who won't do any procedures because they take too much time so they refer them all out. That means no laceration repairs, no skin tag removals, no biopsies, etc. Derms also have notorious wait times.
If you took the time to actually feed their office, and arrange a meeting YOURSELF with the pcp, informed them in 15 minutes what it is you will do exactly, I bet you'd get referrals. Especially, if you focused on suspicious nevi and fast appointment time for your patients. Time is one of your biggest selling points. Fast appointments for your patients. Same or next day? AND immediate turn around time on prep/reading of biopsy. Focus on how fast you can get an answer for your patients. You could even advertise for skin/mole screening exams, so get handy with the digital camera to follow people long term.
As long as you acurately stated your credentials and are licensed there is nothing wrong with this. A physician still has the ability to read their own blood smears. From my understanding a GP can take a biopsy, prepare it, and read it themselves. This is all encompassed in the scope of practice of a medical license, so I don't see a problem with you reading your own biopsies.
I suspect you will have a hard time getting paid by insurance for your time doing the biopsies and seeing the patients. But you should get paid for doing the path. But since you are so fast to get your patients in, you will charge them $25? $50? cash up front for the office visit/procedure.
Just my opinion.