It's not enough but there are 2,000 EV charging stations installed in the EU every week. 10,000 would be better but we're not even one order of magnitude off the target.
I forsee a huge bait+switch, with sky-high prices once enough people have invested in an EV and are dependent on the service, and once the charging service providers have built up local monopolies on public charging.
If charging station prices skyrocketed, competition would appear overnight with chargers popping up in every available parking space until the prices stabilized at something reasonable enough for sustaining the industry at a FMV.
In theory, anyone can open a new charging station. Also, in theory, theory and practice are the same; in practice - they are not. In the real world, economies of scale and supply chain limitations basically guarantee an outcome of oligopolies coalescing into a silent cartel, each of them happily milking their 5-10% margins without any desire to rock the boat.
Tesla's are rather niche, as a percentage of vehicles on the road it's insignificant. There's not enough demand yet. Tesla drivers are still largely well-heeled early adopters of a luxury brand, of course they're going to be exploited.
The up front investment is higher but the long term costs are lower. If you think in purely purchase money terms you can trick yourself to think a Yugo or Skoda or Yaris or Leaf etc. is cheaper, but I factor in safety and fun, so my calculation differs.
If a big retail chain does a deal with one company to provide a number of chargers in each of its car parks, the contract will likely prohibit the use of other providers to install more charging points.
Who ever gets in first can most likely ensure they control the vast majority of the car parks in the local area - all the major retailers and apartment complexes. They'll probably offer to install chargers for free so long as they get to bill for the power.
Once demand is high enough, they don't need a perfect monopoly, if the dominant company has a plentiful supply of chargers and the cheaper competitor only has a few and there's constant queues for them.
And who will give you a permission to build your own infrastructure to generate electricity on top of your apartment building?
It won't be long before there's heavy taxes on EV charging, to make up for the lost fuel tax revenue. Were're not going to escape governments taking their cut, but if we can prevent a big slice of the revenue from going directly into private pockets, that'd be a good thing.
Some states are adding punitive EV and hybrid registration fees that are equivalent to a fuel tax paid for a 13 MPG truck. They provide the justification that fuel tax needs to be fully replaced, EVs are heavier vehicles causing more road wear, and since EV owners are wealthier on average it's a progressive tax.