The account did not violate Twitter rules in any way. It wasn't sending replies. It wasn't retweeting other accounts. It wasn't liking other accounts. It wasn't interacting with other accounts in any way. Should there be no accounts on Twitter that have a list of episodes of a program?
People follow these accounts because they want to be notified of new episodes. It's not spam, it's a service.
I tweet links to my blog posts on my Twitter account. Should I be suspended? What's wrong with external links?