Seems the real problem is the kind of folks you are renting it out to. You need to have signed strict rental contracts that stipulate the renters are financially responsible for any damages or vandalism. And take full inventory and photos of the property, inside and out ,BEFORE renting it, so you can have photographic proof of vandalism.

Any bad renters that have full access, will just vandalize and remove any security cameras and then do their deeds.

There are lots of security systems with cameras that work on battery and will connect by internet so they can be monitored from anywhere in the world, I use Simplisafe system.

BUT they have to have a wireless internet connection within range of their base station in order to be monitored by you and/or a local authorities or monitoring services. So again you have to have some power . My Simplisafe base station will work for 30days on internal battery without power if I have a power outage, and the cameras and intrusion alarms all have internal batteries that can many months. But you still will need at the least a satellite wireless service for the cameras to transmit their video of any intruders or vandals to any monitoring service and/or your computer or phone.

That is the best I can think of right now to tell you.

The original post on the matter of Nikon limiting the use of 3rd party batteries has gone on for 11 pages and has drifted way off topic.

NikonRumors today has an article on the issue which contains new info. The following is an image reportedly from a Z8 with a 3rd party battery installed:

The article also states that the last firmware update for the following cameras
will result in the same message being displayed if 3rd party batteries are used: D3100, D3200, D5100, D5200 and P7700.