takedown DCMA requests are US law. Very different rules might apply, much more restrictive/punitive in a lot of countries. Also, you mentioning that it is about different countries is also an odd thing: TV services usually have distribution rights for third-party material only for some countries. And last but not least, "TV channels" in a lot of countries will make broadcasting laws apply. You will need to cover for a lot of legal questions. Maybe you do already, but frankly it does not really sound like it from your answer...
Well it gets weird. Some of the TV channels here are registered here, but they hire lawyers from states to deal with “competitors” outside the country. So i get the odd DCMA request from a US lawyer for a company registered in Albania/Kosovo. I’m not even sure how that works, but I have complied with them.