Naturally, a summation of the energy expenditure of all of the related components of the existing fiat system must be included, from the totality of all people operating the various functions that facilitate the existing fiat system; i.e. their commutes, aggregate expenditures due to needing to operate physical banks, power usage at these physical banks, etc. are all factored into this calculation... right? All the way to the minting of new currency (probably almost negligible in the aggregate), to all of the security apparatus that ensure that bills are legitimate, to major parts of the US Secret Service that verify that bills are legitimate (including all of their expenses scaled to the proportion of agents dedicated to this task force)... I honestly don't believe that the electricity usage of BTC is higher than fiat currency operation, in the aggregate.
Please share any sources if you have any information that contradicts this. It's an interesting area of open research + I'm curious if I've missed any publications recently.