Less power, I think. With a cryocooler you're just maintaining a constant temperature. Whereas when you liquefy it you have to do all the work of bringing helium from room temperature to 4 K, not to mention purifying it...

At any rate, a cryocooler that would have been much more than sufficient for our experiment would have used about 5 kW, which is comparable to central air conditioning for a large home in summer. A fusion plant would be a heck of a lot larger than our experiment, of course, so I'm not sure what their total consumption would be.

Well, presumably the key issue would be the EROEI of fusion.  The energy for the cryocooler is included in the "EI" part.  So the goal remains the same - to get fusion to the point where it's a (controllable) energy source not a sink.