It could also be solved by government resorting to issue large numbers of an easy to get, "lorry driver" temporary visa for example of 1 year duration.
I've never heard the phrase "lorry driver" in a context where I had to think about what it meant. I think I've been picturing taxi drivers and not delivery drivers.
I would expect a significant number of the immigrant drivers in this scenario would live extremely modestly, like sleeping in their cabs all the time. And they would send as much money back to their families in their home country, this behavior is seen in other such scenarios with imported labor.
It's tough on the worker, but good for their family and home country. It's cheap and compliant labor for the employer. But for the host country as a whole is it good? All that money being sent out of the country instead of spent locally can't be good for the host country vs a native worker.