Yes. This is not a surprise. In the UK we currently have European driving licences. The face card has the EU sign and flag on it and it is acceptable in any EU and (I think) EEA country.
This will come to an end. For individual drivers who just want to drive in Europe for a week or two during the family holiday it might not be too much of an issue, but it really is a very major problem for the road haulage industry because lorry drivers need to be able to easily drive through all European countries to collect and deliver trade goods.
Never mind though. I am sure Brexiteers also gave this serious consideration when voting to leave. Sunlit uplands can surely be only just around the corner (not)
Isn't Brexit a brilliant idea (not).