I would run wires too, but you're just shifting the problem. Now someone can cut the power, rip the camera out of its socket, follow the wires to the hard drives, and take them with the rest of their loot.
The real point here is, even if you capture a super-clear 1080p picture of the criminal(s) face, the police mostly won't care. It's just a little security theater that you put on for yourself, and sometimes your insurance company.
That's why you figure out who they are and publish it on social media/other sources.
This requires significantly more upfront and ongoing costs... and most criminals aren't sophisticated enough to cut power or jam wifi. Lots of times they won't even wear masks.
The average property crime is still an opportunistic smash and grab. Stick up wifi cameras are an affordable "good enough" for most cases.