Dave,
If you intend to investigate further, then one idea may be to stick a small, calibrated SMD thermistor on the tab of the 80N15 pass device for one of the 30V rails. Close the whole PSU fully up, load down all the rails, and measure the tab temperature.
At your mains voltage and 22V @ 3A output, just before the first tap switches, the 80N15 needs to dissipate 72W. With Rth,JC at 0.35 K/W you need the HS temp at 100oC or less, with no margin for error. You casually measured about 70oC or so at 48W dissipation (30V @ 3A load), so the large HS may seem slightly small as well. Particularly so if you load down all three rails, causing the transformer to 'pre-heat' the cooling air a bit before it reaches the large heat sinks.
PS: According to the IXYS datasheet I could quickly find, then the 80N15 MOSFET is housed in a TO-264 case, not a TO-220 as we see in the video.
PPS: The over temperature protection numbers I have seen, suggests the device in question usually shuts down when the die reaches roughly 175oC.
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Edit. The IXYS 80N15 has a TJ,max of 150oC. Not sure I'd like to run it at that, but...