I believe there will still be a rural segment relying on cellular for a while yet, but it's a shrinking minority.
Economics aren't actually that different for villages (very rural single dwellings are though of course). Most villages of say 1k ppl already have fibre going to them (for VDSL cabinets), so they can buy the backhaul from Openreach.
Then it's a case of adding the actual fibre which they can use existing telegraph poles for.
There isn't really a huge difference in economics between urban suburbs and villages.
London is actually not as cheap as you'd think, because a lot of properties are apartments and that requires expensive wayleave agreements to be negotiated with the freeholder. This has significantly increased the cost, as many freeholders don't care and don't respond or want a lot of money for the permission, meaning you have to dig up the street regardless and miss a lot of properties and hope they can be added later.
Plus the cost and complexity of closing roads/streets is much higher in London than other areas.
In the past few years though there has been an explosion in FTTH build. 75% properties can get gigabit service now which is increasing by around about 1% every month.
The priority a decade ago really was on getting the entire country up to 'usable' internet speeds, rather than having a lot of FTTH in some areas and then very slow DSL in many other areas. Only 0.35% of UK properties are below 2mbit/sec down now (unusable), which doesn't include 4G/5G coverage, so in reality it's likely only 1 in 1000 households have utterly terrible connectivity.
So while the UK doesn't rank top of the list of median download speeds it is far less likely you are going to have bad connectivity, which IMO is a greater priority than raw download speeds.
Very few people actually need more than say 100mbit/sec day to day. It's actually hard to get gigabit around the house; most powerline adaptors and wifi solutions top out around 300mbit/sec in my experience, so unless you have ethernet in your house (very rare), the limiting factor is now on in home connectivity, not the external ISP.
Putting Germany in the same category as Australia or the US seems a bit weird when the former two have truly continental dimensions whereas Germany is a bit smaller than California, although there's an interesting twist: Going by population-weighted density, Australia definitively comes out ahead and even the US is somewhat denser than Germany in that regard.
Though on the other hand the United Kingdom is much denser population-weighted-wise than all three of them, and yet from what I've gathered it's no perfect shining example of highspeed broadband rollout either…