I noticed your question got a bit overlooked. I’m not sure how many other licensees are members here either, but I’m pretty sure it varies state-to-state what your required to “disclose” when you do have a license. I know in Texas, you’re required to disclose the fact that you have a license. I would imagine it’s similar in other states.
If I were you, I’d simply add a few sentences to your offer letter saying what you need to say. No big deal.
I lean towards thinking having a license may add to your credibility.