Outside an investor perspective, back to when I lived in apartments, my car was broken into 2x in 3 months and I had almost $2k worth of things stolen (stereo system and laptop from my trunk). I asked the apartment complex if they would install some cameras on the property and they said no because it "would cost them thousands of dollars". I told them their tenants are losing thousands of dollars getting robbed, but that did not work.
Back then, buying and setting up your own cameras was too expensive to be an option for me, but if I had access to the systems that are out there now I definitely would have set up my own cameras too. If the owner complained of property damage from screw holes, I would again point to my own damages and lack of feeling secure.
My recommendation is you should not sweat the tenant putting up a camera or 2, as long as the installation did not cause major damage. Add something to your lease if you'd like for the future, then put cameras up throughout the complex so your tenants don't have to. Market it as a "secured property" and raise rents $5-$10 a month to pay for it. You don't need to go overboard, just a camera at each parking entrance/exit, the leasing office, and 1-2 other important places around the property.
