Earlier quoted context omitted.
In North America you get either a TV Cable (coaxial) outlet, which then needs a cable modem (DOCSIS). Or you get a phone outlet, for which you need a DSL modem. For both cases, back in the day, you still needed a router. Nowadays it’s usually a modem-router combo, and usually they are terrible. Everyone always has a rats nest of wires somewhere behind a TV or couch. :D
Same in other Western countries like The Netherlands and Germany. The cable network is from the time cable TV was rolled out (70s/80s). The phone network is older, and also more unreliable. VDSL and DOCSIS are mostly FttC though. I believe EU demands people to be allowed to freely pick their own router. Whatever brand it is and whoever owns it you can put it near your demarcation point (in Dutch called ISRA for phone…
Do you have a reference for that? I have FTTH in France from SFR and I suspect there's some funny business going on where you have to jump through hoops in order to replace the provided router. Not only won't they provide a DHCP lease if you don't ask with the right options, but lately the dhcp server seems to actually stop providing anything at all once it saw an un recognized request. Support has to intervene to make it work again and the issue doesn't seem common because it usually takes them a week to find out what's up. They would even try replacing the router at your house...
Edit: found the EU regulation : https://eur-lex.europa.eu/legal-content/EN/TXT/PDF/?uri=CELE...
Indeed, it states that the providers should not impose restrictions on the use of terminal equipments, and that users should be free to chose them. (§5 on the second page).