The specs say Mini 2 works with a 60W power brick. Mini 1 requires a 100W source. So at the very least, the peak draw is better.
Mini 1 absolutely does not require 100W. I used mine off a 60W battery just fine and as others mentioned, it's ~45W during startup and more like 25 average during normal use.
I think the reason it states 100 is that it also has a heater built in. It is supposed to turn on when the top surface gets covered by snow or ice to melt it.