Anyone would think there are tens of thousands of HGV drivers just sitting at home twiddling their thumbs and living off benefits.
Where are these 5,000 European HGV drivers supposed to materialise from? The best you can do is effectively pinch drivers from other countries and cause problems in those countries instead. Same goes for other jobs/professions eg Doctors, Nurses.
What is it that makes it unattractive as a job? Not being able to take alcohol or drugs? Having to spend too long a time away from home? Eg A 2000km journey means you can't go home each night. Even a "short" journey such as Dover to Birmingham is barely going to make it.
Is a structural change needed, ie a form of relay with the trucks with a truck being handed over to another driver after a certain distance. There would be potential complications in making sure a driver was ready for the next leg of the journey. With such a structure, goods would move quicker and less lorries required.
There is a limited number of people prepared to do jobs that require being away from home for extended periods of time, eg long haul air travel, ships(container, cruise), military service.