Do you know if that affects movies bought through Apple’s TV app (US)? I have quite a few movies in my collection and would be really annoyed if they didn’t work in Europe.
There are still countries where the Apple TV app hasn't even been released. Summing up the Wikipedia numbers, about 100 countries have access to this app. Even in Europe, Apple TV+ isn't available everywhere (https://support.apple.com/en-us/HT204411). In countries like Albania they don't even seem to make iTunes Movies available.
According to this community post (https://discussions.apple.com/thread/253966277) that implies that DRM'd content is not available in those countries, and that you'll need to download your movies and for them to work depending on the country you're visiting.
If you're coming over for a temporary visit, setting up a VPN on your home network may be a good idea. Many American services are not available in other countries, even if you're a paying customer.
According to this community post (https://discussions.apple.com/thread/253966277) that implies that DRM'd content is not available in those countries, and that you'll need to download your movies and for them to work depending on the country you're visiting.
If you're coming over for a temporary visit, setting up a VPN on your home network may be a good idea. Many American services are not available in other countries, even if you're a paying customer.