I am no fan of Jimmy's show but this seems out of line. My tinfoil hat thinks this might be a way for Sinclair to "justly" remove a show that has been loosing ratings by riding the popular wave and saving some face.
According to sites like https://televisionstats.com/s/jimmy-kimmel-live he wasn't even in the top 500 TV shows
Band of Brothers a show from 24 years ago still gets more viewers that Jimmy get's now.