I don't know. I just don't buy it. Maybe I still can't get over the fact that Batman's respect towards officers seems to be limited only towards the ones that have died. He obviously has no problems in telling officers to (not literally) fu** off, sucker punch them so hard they end up with broken parts of their body and bleed profusely, and taking their belongings so they can get in trouble.
Respect my a%$!!!!!!
Oh, why doesn't Stacy tell Robin that Batman physically assaulted Romy with the intention to harm her and left her with a broken nose that turned into a geyser of blood? I think that would have been a more important detail to go along with him taking her gun. That is some flawed reasoning. If anyone got assaulted and had anything stolen, you bet your sweet pages they'd mention assault. I guess Stacy gets punched in the face and has her nose broken on a regular basis so she probably thinks it's no big deal.