I don't see tech companies changing their practice in say Brazil to meet European laws.
If India make it illegal to host a video critical of their PM, and google block that video from access in India that's one thing
If Thailand make it illegal to slag of their king and google block users from Thailand watching a video about the king that's a similar thing
If Europe make it illegal to track users without their consent and google block users from Europe that's a similar thing
If China make it illegal to talk about Winnie the Pooh google block users from China searching, that's a similar thing
If America make it illegal to talk about tools to circumvent DVD copyright protection and block users from America searching, that's a similar thing
In all cases Google is obeying local law so they can do business in those countries, but that local law applies to local people.
Now copyright (not DMCA but Bern style copyright) is, so I could see why google would remove a BBC copyrighted film, although they tend to ignore copyrighted material unless the copyright holder complains.