That's actually not the official line. That's the line of the Road Hauliers Association. The government line was provided to the Telegraph yesterday, and goes like this:
- There is only really a "shortage" of about 100-150 tanker drivers in the entire country.
- The petrol shortage was caused by aforementioned hauliers association deliberately telling the press that there was about to be a massive fuel shortage. That wasn't true but triggered panic buying, provoking an artificial "crisis" that was used (successfully) to put pressure on the government to issue some visas to eastern European truckies.
- There are more vacancies for HGV drivers, but that's mostly due to a lockdown-induced backlog at the driver licensing authority, combined with many people who have HGV licenses not wanting to drive due to poor pay and conditions.
- Brexit isn't the cause of this (which at any rate came into effect at the start of the year), except via a rather tortuous route ... the people at the RHA who manipulated the public through the press are all notoriously and outspokenly anti-Brexit, and they unfortunately have a history of leaking, in fact their press guy is a former BBC journalist already known to the government for prior leaking. BBC is of course notoriously anti-Brexit culturally. Therefore it is very likely these people saw an opportunity to both make money by getting access back to cheap labour whilst simultaneously winning a propaganda victory by convincing everyone to blame Brexit.
- And in fact Brexit has allowed the government to rapidly adjust the criteria for licensing HGV drivers to help clear the backlog, which wouldn't otherwise have been possible under EU rules.
So that's the official line at the moment.