It seems the UK financial conduct authority was trying to find a way to come to an agreement with binance to keep operating in the UK but put blame on binance for not being able to answer the questions it wanted them to.
I'm not entirely sure, personally, if this has any impact on bitcoin at all as I think there is a lot of competition to binance the FCA won't be able to find or that will comply with the FCA (such as coinbase and decentralised exchanges and the smaller leverage platforms).
It'll probably have a very small and limited impact on the overall price. There is nothing wrong with different regulators in different countries taking different actions to protect their own citizens, as you say. If companies want to operate with the approval of the UK authorities then that is up to them, however it's a fairly rich and open marketplace for companies that do want to comply. I wouldn't be so sure that Binance are the blameless ones here - I've used their platform once and the fees were absolutely extortionate so it would not surprise me to think that they would be up to other dirty tricks too. Being FCA approved is generally seen as a good thing, but obviously the regulator can make occasional mistakes.
I actually wouldn't expect it to have any impact on the price. Binance could entirely disappear and there are more than enough exchange points people could go to in order to transact between bitcoin and fiat, so there would maybe be an initial (but extremely short-lived) disruption in demand.