Yeah, I don't think so. I don't see how that could possibly be relevant. With something like this during the application process, I'd bet they also have a policy that you have to list any new firearm acquisitions after you get hired. Unless this is your only choice for employment, I'd pass. But then, I'm not now, nor have I ever been, nor do I ever plan on becoming, a LEO of any kind.There is a section in the packet where it asks for the make, model, caliber, serial number, and purpose of every firearm that I own.
Good luck in your chosen profession and in your job hunt!