However, I'm sure “舔犊深情”是错别字的用法.

I also agree that this is a tiny mistake very easy to make and have been made by thousands of people including CCTV hosters and some famous writers. Therefore, it's really not a big deal.

The funny thing is, however, JFF tried to cover his mistake by making several mistakes one after another which is very entertaining. I don't have problem to watch the show.