We have the same thing in our 2004 Airstream Motorhome. The only thing consistent is that it is only the lights on the direct same
12 volt power line as the antenna booster(s). I didn't do it because of this issue, but through the years I've changed out the original antenna booster, as well as a separate but attached to the same power line antenna booster for a separate TV antenna, so I have two boosters on that same
12V power line. I've tried both cheap, and also expensive voltage regulated, LED bulbs,
12V converter on & off, different Winegard and King antenna heads, and various antenna amplifier gain levels. It happens only on certain weak channels and that closest row of LED lights. And the really wild part is that the multiple and close fluorescent lights down the ceiling center both when they were actually florescent tubes and even after LED conversion tubes have never affected the signal, nor have the sink and stove LED lights that very likely ARE on the same power line.
It's one of those "go figure" situations - but I can turn that closer set of lights off when this occurs and it's fine, so it's really not worth trying to repair further. I suppose I could try a filter like they put on stereo and CB power lines - and I have an oscilloscope I could try also to see if there's any ripples on the line, but it's just not really worth the extra expense and effort for our situation except out of curiosity. But you sure aren't alone experiencing that issue. LOL