I agree. This problem is present on both sides of the pond, and is only going to get worse.
Often the starting pay is too low to attract potential new students to our trade, especially in the U.S.
Licensing is also posing a problem for some of us in recent years. I'm an experienced helicopter mech from the states, and currently working in the Mid-East, but I'm excluded from most jobs in Europe because I'm only A&P certified. I considered getting an EASA rating but it doesn't seem realistic to take all those tests and basically start over at this stage of my career. I wish things were different because I'd love to work in Europe.
These situations such as my licensing scenario add to the workforce problem. If U.S. licenses were accepted in Europe, and EASA license easily accepted in the U.S., I believe the industry workforce would be much more fluid, and would help alleviate some of this problem.