This is not a flame reply, just information
The whole cold battery issue is easily solved with a dish towel & $10 soft lunch bag at Target or splurge $25 and get the paddled Ion battery bag with hand warmer pockets…Do the math on how many holes you typically drill in an outing before making the decision to buy your auger, if it turns out you’ll need 3 batteries (120 or so holes) to get through your ice fishing day, then you should stick with a gas auger as the Ion would not be cost effective.
There’s a large sub-set of icefisherman like myself that don’t drill more than 40 holes in an outing, for that purpose the Ion can’t be beat, this is the customer the Ion is built & sold for. I picked up an extra battery during the spring clearance sales for less than $100, so I always have a backup if more than 40 holes are needed just in case.
There’s also a sort of unwritten price premium with an electric auger in regards to avoiding the hassles of a gas auger (hard starting, hot exhaust vent after use, dealing with gas spilling, lots of moving parts = more maintenance, did I lay it down on the proper side, etc) I was willing to pay the small price premium to avoid all of that added work/stress/drama…I just pull the trigger and drill..
Figure out how you typically ice fish (# of holes drilled in an outing) the auger solution should then easily present itself…