So a thermostat and active-cooling of the lamphouse (as used for halogen diffuser heads) would help also, or the led-lightboxes which were being used as an alternate to cold-light heads and to which I had found that d-i-y link previously (Edit. post #20) . . .
I only saw one cold-light head in action decades ago, on a visit to another lab, and that had an electric shutter (from a solenoid timed by the usual sort of timer), but I've no idea if the head was cooled or not. That particular enlarger was an 8x10 De Vere, but the head was from a different manufacturer I think.