What happens currently is a multiplication of private charging network, which is good, except that you need to pay a monthly fee for access, then a fee per connection and finally a fee per minute or kWh. It costs 10 GBP extra fee if you haven't a monthly registration. So if you need to charge your Tesla (let's assume 60 kWh) on a network you are not registered that's going to cost you: 31.80 GBP ! OK it is still less expensive than petrol, but that's not longer an order of magnitude under.
I'm a bit afraid that in parallel to the legislation terminating the sales of ICE cars, there isn't any kind of legislation for the charging networks being put in place. Those private network will have to fight to install point on the public road, meaning the competition will be to win the local authorities, not on the consumer side. Failure to do something will lead to a situation quite similar to broadband in the US, with car driver required to pay several monthly fees to various network in order to make sure they can top up their car.
It is a bit offtopic, but until that day it never occurred to me that the golden age of electric car ownership is today! With lots of free goodies thrown your way, but all of that will dry up by the time the common folk get their EV and the future will look much like the present in term of cost of driving hidden in a few extra monthly fees tacked to your account. At least it's a win for the environment.