That's pretty much happening in computer science in the US. Pay for CS faculty members has been rising significantly faster than inflation, and faster than other fields, although still not nearly as fast as in industry. A brain-drain of people at all levels of seniority to high-paid tech jobs is a big part of it, although increase in demand is another part of it (the number of incoming freshmen declaring a CS major is exploding, driving lots of places to expand their departments).

The same effects have also made long postdocs less common, and it's even possible to jump directly to a tenure-track faculty job from a PhD with no postdoc in between. Alternately, people seem to be doing a kind of "industry postdoc". You get an industry job, but one that lets you publish (DeepMind, Facebook Research, some startups, etc.), and after a year or two you either find you like it and stay, or you use that as a springboard to apply for faculty jobs, treating it as having been basically a high-paid postdoc.

Still plenty of stuff to complain about, but the job market looks far different than in the natural sciences or humanities.