If you live in a neighborhood or area where you really have to worry about security issues, you’ll need to purchase a whole solution security system…ADT, Vivint, Xfinity, etc. You’ll get a system where the installer will do their best to hide camera wiring and normally some sort of battery backup.
Wyze cameras and security systems are for people who either aren’t that hard up for actual security or would rather not pay out the wazoo for some form protection. Most break-ins are crimes of opportunity.
Several people here have said how to generally get around the unplugging of the camera issue. This would be the same way to get around someone cutting the cable or vandalizing the cameras. Hiding the camera AND the cabling. You’ve gone around it all. OK, so you don’t particularly want to invest in having to hide wires or the camera - I get it, I really do. Maybe you’re worried about someone in the home itself, not necessarily a burglary etc, again, I get it.
The main issue is that it’s not an “industry thing”. People will simply pick wired for power, battery/solar for power, PoE or hybrid (battery camera + solar or wired) power. Nobody’s out there demanding a mainly wired camera have a battery built in. Maybe one day?
Once you talk about adding a battery to a camera, it increases costs and it also changes the functionality of the camera. They have to think about if the battery should be built in or user-replaceable, etc. You’re generally going from recording 24/7 to recording events. as well. Right now there are very few, if any, cameras that will run 24/7 AND have a battery. All of the ones I can think of are hundreds of dollars.
If you don’t want a scenario where you need to hide cables and don’t need 24/7 footage, you could always just go down the route of buying a battery powered camera and in order to not actually need to change the battery, run a power cable to it. There are quite a few battery powered cameras that support full-time power connections, although they still don’t get you 24/7 recording. If someone comes in and unplugs or cuts that cable, the camera will still work.
You could also go down a DiY route and put a 1a or 2a camera on a power brick with passthrough and put the brick up high where no-one can reach it without a ladder. Plug that in wherever. If they pull the cable or cut it, the camera is still running on the brick, way up yonder.
Granted, if I were serious about breaking into a house, I would simply cut power and internet. Nothing but a cell based camera would get around that. If anyone is that serious, pray you’re not home.