Yes and no, I would think. The logic was handled by small-signal triodes (
albeit operating in a very inefficient, nonlinear way*), but they, of course, required (relatively) high plate voltages and no mean amount of current to operate even under those conditions* so the HV power supplies for the computer itself would've been generating a lot of heat (again, I would think).
The computer triode tubes that evolved were robust variants of things like a 12AU7 (or 12AX7), and were (derp) manufactured in immense quantities. Some of us retain a smattering (or in some cases, a
fecal load) of these tubes for hifi purposes. They were typically rated for lower plate voltages than their ancestor triodes, but I am told
this was more a reflection of their (
ahem) intended "use case"than their actual capabilities.
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* Jeepers -- this got me to thinkin' of the opportunity to operate vacuum tube digital logic with plate starved triodes. Get some of that good ol' fashioned analog
crunch in the tone (of the output data)!