I have experienced TV and other electrical devices go on by themselves quite a few times.
A funny story is that I thought maybe there was something wrong with the wiring that was causing this to happen. So I had a maintenance man come in to check it.
I had never told him about my ADC's, but just in a joking manner when he was finished, I asked him if he had encountered "the ghost". He said "Yes, I felt that I was being watched the entire time I was here and in fact I was touched several times!" So that seems like pretty good validation that my own ADC's are not my imagination. So yours no doubt are for real as well!
Love never dies.