This is precisely why they want it silenced:
"The most recent ratings from Nielsen show Colbert as winning his timeslot, with about 2.417 million viewers across 41 new episodes. It also said his late night show was the only one to gain viewers so far this year."
https://apnews.com/article/stephen-colbert-late-show-cbs-end-8bad9f16f076df62c0ffc50e9c8adbab