I don't disagree with you. (The Cray-1 is never going to go again, but it's a cool artefact.)
I'm a TNMOC member, I think it's a bit of shame that EDSAC got the nod rather than a Pilot-ACE, which to me is very much more interesting. Due a visit soon anyway.
I suppose the essential problem is that you can restart or recreate a functional classic CPU, but it just sits there and blinks while emitting heat. If we make it run something then we could just use a Raspberry Pi to pretend, or an emulator in a VM on your laptop.
What's probably more interesting is classic software, preserving and running. Which doesn't so much need the hardware itself to be functional.
Paul