Not to mention that "consuming" energy is somewhat a fiction: it's more so changing the entropy of a system. True consumption of energy, at the extreme, would imply sending energy into deep space (any direction other than the sun really) where it can never be recovered.
Is the problem that such entropy changes usually (always?) result in at least some heat loss? And the the planet is warming, so heat itself is seen as a negative?
To make my point a different way, if a mining rig were 100% solar and 100% efficient (both fantasy, of course), then it could consume unlimited solar energy with no ill effects. Thus basing our judgment on energy consumption instead of waste heat and energy source issues seems misguided.
Is it just too complicating to discuss this in terms of CO2 emissions and waste heat, instead of Watts alone?