While European roads are far smaller than American roads their fire engines are still based on large trucks and only about 3/4 the size of US ones. Look at the examples here: https://en.m.wikipedia.org/wiki/Fire_engine

I did read of one town in the UK that bought a Kei-class truck but it was an unusual situation.

The standard in the UK seems to be a 3.7m (12ft) wide road to access buildings over 11m high. https://www.ukfrs.com/guidance/search/vehicle-access