Have noticed an odd occurance with relays
Look at the dimensions of the wiring. You might have a resonant loop at the television frequency.
Many years ago in Canada when television first was used, some room lights would jam it. What was happening was the shape of the lamp filaments formed a magnetron. The magnetic field from the filament would interact with the electrons leaving the filament and the voltage drop across the vacuum between two points on the filament.
Having replace the bad relay and anding the capacitors, which I was going to do anyway to reduce the problems of having contact chatter basically cause pulses to the coils of other relays, thus heating them. This is a problem with my old relays, not the new ones as much (some of the relay I am using are in their 50s!)