Hard wire your cameras and have a blinking red "recording" light that actually only responds to wifi jammers which cause it to stop blinking. They think they got the cams down, and stroll on unaware.

Then they don't even realize the real camera isn't visible. It's next to that big obvious one.

The goal isn't to trick burglars into burglarizing you.

Maybe we don’t need to overcomplicate things? Cameras won’t stop theft, heck even police sometimes doesn’t stop theft (lookup California)

On the other hand, you probably want it to indicate that it's working even if it's not, just to scare the perpetrator and prevent any further action.