Running cards at full pelt 24/7 vs at most a few hours a day? Doubtful.
Fermi estimate: 10 million latest Xboxes, used for 1 hour per day.
Power estimates seem to vary from 120 W to 315 W, let's say 200 W including display. That's 2 GWh/day. Probably similar for Playstation, or at least close enough for a Fermi estimate. I'm going to guess similar for PC gaming also.
Smartphones are what, about 1 W? But a few billion of them? 1 hour per day makes that another GWh/day?
So probably about 7 GWh/day for Xbox + Playstation + PC + mobile, 2.5 TWh/year.
Bitcoin is estimated to use 131 TWh/year according to Wikipedia.
Yeah, you're right, it's not even close.