Oh, this is sad. 
Ok, so the only alternative that would be possible is a imdb-search-link. Imagine the TV show is called “stranger things” then the IMDB button would open following link:
https:// Title Matching "stranger things", TV Series (Sorted by Popularity Ascending) - IMDb
I mean yes, this is not as perfect as the correct ID of the TV show, but only one more click 
At least it would be better than my current approach: going to TV show, info page, click on an actor, click on IMDB button and on IMDB website I click on the TV show then
What do you think?