I think it's more about the nature of battery chemistry and the relative loads SLR vs mirrorless setups place on batteries
Yep, exactly. An SLR only needs a burst of power at the moment a photo is taken (and just before, to power the AF and exposure meter), while a mirrorless camera must keep the sensor and display/EVF powered continuously.
This is clearly not due to the nature of mirrorless technology though, so I don't think it's fair to criticize the technology based on that.