Recent Woodheadisms include slagging off most of the national curriculum (partly shaped by himself), buying a chain of private schools and offering a buy-now-save-later deal on fees.
But is he going over the top? He shocked independent schools with last week's tirade on how they should let failing state schools collapse. Not a message the sector - desperate to keep its charitable status - wants aired.
And they're his colleagues, for goodness sake.
Professor Woodhead's orthodoxy-challenging instincts can be useful: remember his outrage at suggestions to rename teachers "learning professionals"? It would be a shame if he became so contrary that we all stop listening.