Well, I've been testing the heatsinked unit extensively for several hours now, with the the PSU at 3.2 VDC.
So far, the buttons have not softened up, and the heatsink is not going above 75C. Without fans or forced airflow or anything, just sitting fully assembled on a metal sheet.
If the buttons do melt, however, I'm thinking about modding them too - maybe molding something more substantial with quicksteel or something like that to replace the lower part.
As far as experience shows, heatsinked mosfets are now very unlikely to go into thermal runaway, if they had somehow done that before.
I've also applied much more grease to the NTCs, as there was almost none before that. Something tells me that may have caused at least half of the critical termination failures.
BTW, no free replacement PSU's here in Russia, alas :-(