If we assume that 85% of total global gold production comes from primary gold mining only, then the 88 million oz (Moz) produced in 2016 consumed the energy value of an estimated 123.2 million barrels of oil equivalent versus 6.6 million barrels of oil equivalent for all Bitcoin production.
https://srsroccoreport.com/bitcoin-vs-gold-which-ones-a-bubb...
The speculative power of gold comes from a kind of "Proof of Work" very much like Bitcoin, by a different mechanism (with different economic properties, of course).
If Bitcoin partially replaces gold (in market cap), and we don't find alternatives for Proof-Of-Work, it seems reasonable to assume that it will also partially replace gold's energy consumption as well.