Part of that fee is for what the PSP charges for the instant background check. Whatever the fee is, it is less expensive than getting caught for not having it transferred to you. You can't expect business to do the required paper work and do the insta check for free, especially if you are not a regular customer just looking for a place to have the work done and didn't buy the gun from them. Kinda like going to a garage and wanting an oil change and bringing your own oil.
When you are up to your butt in alligators, it is hard to remember your intent was to drain the swamp. Stay focused!