I have an 11Ah 12v battery to jump start my car. That will do about 400 watts for about 20 minutes. It weighs about 24 ounces. An 18v 6Ah drill battery wil do almost as much. The travel iron I use is 325 watts at half power, and it works fine. You should be able to maintain temperature for long enough to do a couple of pairs of skis, maybe more. A lot more if you preheated the iron from a 120v source,
Battery power doesn't seem that crazy anymore. Use 5 or 8 mm sole and a PID controller and it will work fine. Getting rid of the cord was a game changer for a lot of electric tools, and it might be for irons too.
dm
Cordless clothes irons are capable of 220C (cotton/linen) to 140C (wool/synthetic).
The coldest ski waxes and powders only need 160C max.
Ironing a ski only takes 30 seconds max per ski (drip for 10 seconds and 2 x 10 second passes of slathering). One minute if it's a waxer that likes to slather the base a lot.
Cordless clothes irons can sustain anywhere from 20 seconds to 2 minutes of dry ironing before needing to be recharged, which takes as little as 4 seconds to 30 seconds. These are the ranges I found googling different brands.
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