The hard work, mediocre pay compared to alternative professions, and lack of autonomy and social respect they receive takes its toll though, and teacher attrition is higher than ever. Instead of “playing chicken” as you suggest, experienced teachers are retiring in droves and top potential teachers are scared away by poor career prospects, and as a profession teaching is hollowing out. Most states cut education budgets sharply after the 2008 recession and in general those budgets still haven’t recovered. I fear that in another decade or two public education will be in a very tough place, having lost a huge proportion of its human capital with no easy way to get it back. In parts of the US this is already a crisis, but the political response has been to further demonize teachers and push for more standardized testing, voucher programs, charter schools, and so on.
Even if states cut education budgets sharply in 2008 it shouldn't have been a problem, because it's not like teachers 30 years before that were suffering under much more parsimonious spending. It's just that when they cut those budgets, someone decided to pass the pain on to the teachers instead of figuring out where the real waste was.
The atrocious thing is that the teacher's unions keep clamoring for more educational spending instead of higher teacher pay. Empirically speaking in the US, more educational spending will correlate with lower teacher pay.