Depends on the department.
In the mid-1990s, I had a San Francisco PD Backgrounds Investigator hand me a piece of binder paper and ask me to "write down all your weapons". My initial reaction was so bad that all the investigators in the room looked over. I felt that an official inquiry into my firearms ownership would warrant an official form not a blank piece of paper. Besides did she think that I could provide a list off of the top of my head?
Eventually I faxed over a list of firearms registered to me. Remember long guns unless registered AWs are not
registered. Besides when she said "weapons" I thought "You want my Benchmade CQ7 on that list?"
On the Psychological test, one question is "Do you own any assault weapons, e.g. AR-15, Uzi?" Since I owned semi-automatic HKs at the time, I answered "NO." Assault weapons are select-fire in my mind and HKs are not AR-15s, nor are they Uzis. Don't think I was able to explain the semantics of that argument.
Talk to gunfriendly officers of the departments you are interested in. See if that antigun bias still looms within. Things may have changed since 9/11. Nevada didn't care that my list of guns was 2 pages long!