One thing to remember is that ALL monofilament, Fluorocarbon and co-polymer fishing line is made for open water, warmer weather applications.
Yes, even the so called "Ice Lines" are nothing more that glorified regular line that's enhanced by color and/or treated with a coating that dissipates as soon as it hits the water.
What you get is less line on a spool for double or triple the price
But it looks all pretty and colorful in it's new packaging and bright color
That being said, what causes line twist can be narrowed down to a few factors.
# 1. Elasticity. Mono and co-polymers are stretchy. Left on any spool, they will coil due to memory. Fluorocarbons, will coil but much less as they have less stretch, elasticity and a smaller diameter.
# 2. Too small of a spool on your reels. Kind of hard to get away from for ice fishing so other action to reduce twist and memory need to be taken. You can stretch your line from time to time during the day to help eliminate the memory or give it a coating of something like Blakemores Reel & Line Magic.
# 3. Reeling against your drag while fighting a fish. This will twist your line like a cork screw ! Reel down to the hole and pull up instead of cranking all the time. Let the rod and line do the work. Just as fishing lines, reels are made for open water / warm weather use and don't always perform properly in cold / freezing weather.
To remove twist from your line, you can pick up one of those cheap dollar store plastic clamps and line the jaws with pieces of rubber from an inner tube or other sources. Whether putting new line on your reel or just straightening what's already on your reel, you just clamp the line between the rubber coated jaws and either reel the line onto your reel or pull it off by hand. Either have someone hold the clamp or you can clamp it right in front of the first guide on your rod for a hands free set up.
Soaking in warm water also works great.................
.....when there's warm water available !