The present BEV charging systems in the UK are a mess. Inconsistent access, some non operational, and of course limited charging rates from some. But to look at possible uptake of BEV's in ten years, and then apply that to infrastructure of today, then yes there would be massive problems.
We have to consider the the very likely probability that the infrastructure will continue to advance and improve over the next ten years, and whilst i'd be very surprised if no problems arose, but the scale of the problems are not going to be as dramatic as suggested.
There are companies who are planning and building EV only churching super stops, Some will be on motorways and some on other roads or locations. There is nothing to stop you leaving the M.Way to go to another nearby charger.
I noted yesterday that Elon Musk has hinted that Tesla is considering opening up their supercharger network to other makes.
You only have to look back 5 or even 10 years to see how far we have already come, and there will be continual development and improvements in cars and services as time goes by.
Change does bring uncertainties, but most are often found to be the result of lack of understanding, or a head in the sand attitude. But some will be justified.