I've lived in both Australia and the UK, and the only coaxial cables in any home I had/have have been direct point-to-point connections from the roof-mounted TV antenna to the corner of the sitting room where the TV was intended to be placed. Not terribly useful for computer networking.
Cable TV (from cables under the road) is much more common in Denmark than in the UK.
Digital, broadcast TV in the UK is mostly received by radio broadcast or satellite broadcast, so the house would only have the appropriate cables from certain rooms up to the roof. Thinking of the houses I lived in, it wouldn't have been practical to put a router of any kind up there.
From recent UK statistics:
- 95% of households have at least one television
- 30% receive TV over satellite
- 13% by cable
- 80% by IPTV
- 48% by terrestrial radio broadcast
- 96% have broadband internet
That's 13% of houses using their cables for a TV subscription, so more than that number have the cables available, but some big chunk probably had it installed to a single room in the 1980s and have never expanded it — the kitchen and the kids' room use terrestrial broadcast.