I would be fairly amazed if a camera using RF transmission, however badly designed, had enough spurious emission/ harmonics to have this effect, Compared to the radar, they would be very low powered, and inside a metal cage (the lift) inside a concrete shaft inside a building. I do this sort of thing for a living, and all the lift cameras I have known are hard wired, and the cables run with the cabling powering and controlling the lift.
The other way round, Ground radars often interfere with legal, low powered RF transmissions within the building.