is there Tesla Supercharger network there worlds ahead of any other charging network like it is here in the states?
Yes. We have a plethora of different companies providing charging (original government grants were regional, so companies sprung up all over the place with no compatibility of APPs/Cards at that time). A few of them are good - but even the well know brands can take a very unresonable amount of time to repair a charger, and it can thus be unpredictable whether, when you get there, stuff will be working or not. For the rest they are generally slow (plenty of 50kW stuff still exists) and plenty have terrible repair records (looking on sites like PlugShare or Zap-Map for customer feedback on how their charging session was ... or was not!
The other problem is that they are fitting "Only a few stalls". The biggest, most reliable brands, are (best as I know) fitting 6 stalls at a site. Tesla is only fitting that few stalls, on new sites, if there physically isn't room for more - e.g. at a small service centre. New Supercharger sites are predominantly 12 stalls-ish
Tesla basically just works. On a few occasions I've had slow charging from a stall, I've moved to another stall and that was fine. And of course Tesla is plug-in-and-walk-away, whereas the others (in USA too I expect) are plug-in, get the APP open, and try to initiate a charge. I'm exaggerating a bit as some aspire to plug-and-charge, and no doubt work with certain brands ... but then you would be looking for "that brand" of charger ... much like we look for Tesla Superchargers.
Are the distances traveled there much shorter
Yes. Americans think that 200 years is a long time, and Brits think that 200 miles is a long way