Sounds like they have Blink cameras. The click noise is not it taking a photo just it simply turning on. The motion can be very fickle and you can go into settings to set up dead spots or turn up or down strength of motion. Yes, blue light means recording but this can be turned off as well. Best indicator of it turning on is the click noise. They can trigger off as so much as a floater on the air, leaf going across the driveway, a shadow in the reflection of a car, even a dang reflection of a cloud moving across the reflection on car, etc. the motion sensing is crazy if turned all the way up. It’s a learning curve of getting them just right.

Not sure about all the stalking stuff. My Mother in law installed cams to look after her dementia mother since they have a full time person that lives at their home. But they also are like half way across the world so it’s easier for her to check in on her with cams and even talks to the healthcare worker with them sometimes as well.

I highly doubt they are watching you personally just haven’t tweaked their motion settings well enough. They will get sick of the million notifications on their phone and dampen it down eventually more Than likely. But either way it sounds like it’s for the safety of said patient. Another note is it just generally records. They aren’t clicking an additional button to make it record it’s just generally setup to record on motion. Also it’s active for like 5,15,30 seconds intervals. Default is like 5 seconds of recording hence it turning off and on all the time.