It also doesn't have any accuracy whatsoever. It only makes it possible to detect infrared, but not to see where it came from. And being opaque they make you blind when wearing the lenses.
Not really. While I don't have the exact numbers, the output of an infrared LED is no higher (usually) than an LED in the visible range. My security cameras have an array of 10 or so LEDs.
So looking at a security camera would be roughly equivalent to staring at a light bulb.
Also infrared cameras are pretty sensitive, so the lights often aren't that bright.
And the contact lens definitely won't make infrared light as bright as visibly light. It also likely doesn't line up exactly with the wavelength used by most cameras.
It would probably be noticeable but not appear very bright.
Your phone's camera should be able to "see" the IR from security cameras and IR remotes. That can give you a sense for home much and in what direction they emit.
The sensitivities will be different, your phone should still help you some.
Phone cameras have very good IR filters. They aren't perfect which is why they can still see the LEDs, but they aren't anywhere near as bright.
I have an old RasPi camera with the IR filter removed, a remote control looks like someone used an old-school camera flash in pitch darkness. Which is how you can control your TV sometimes even from the next room over - especially at night with no ir from the sun - shine the remote at the wall, and the wall blinks bright enough for the TV to see it, often even after a few reflections.
It was an eyedrop that used a protein or something from jellyfish, that affected human eyes to temporarily see better in low light. Been years since I've heard anything about it. Another sensationalized "breakthrough" I guess.