Gentle reminder that wages are set by markets generally based on the cost of replacement. If you don't have a moat in the form of education and experience, you won't have very impressive pay. Working in the public sector just makes this worse because politicians need to keep your wages down to have room in the budget for their pet project which will hopefully get them re-elected.

They have huge problems here to find replacement here in Germany and pretty much anywhere else in the world, too. You're assumption is hence wrong.

If the wages are not rising, then the organization sees no replacement as better than a more expensive replacement.

It's just price capping leading to scarcity.