Why the fuck isn’t there just a simple status LED that is on the same circuit as the camera?
Because cameras aren’t simple on-off devices powered by a single wire, that’s why. It’s always got power, and it’s turned “on” (send image data over the data bus) and “off” (do not send data) by software commands over the same data bus.
So the most convenient solution is then have the camera IC have an output that can drive an indicator light. And as camera ICs are basically full computers in their own right, they can be reprogrammed so that they don’t turn on that output.
End result is that you are much better off either having a physical cover over the camera lens, or having a USB camera that you can unplug.
You can set up fast roaming (802.11r) which is supported by most mobile clients and gives a much more organised handover between APs. Bit of config tangle but apparently works ok once you get it going.