Cold affects all types of stove fuels. It just happens differently.
Isopro is a isobutane with 20% propane for added cold weather performance. But my understanding is that a) it's common for the propane to burn out of the cannister first leaving you with a partially full but ineffective stove in cold temps and b) it's common to still need to sleep with them to warm them up to usably warm temperature.
All stoves that I've used (cannister, white gas, alcohol) benefit/require a wooden insulator under them for deep cold. This helps keep the warmth in the stove from being drawn out by the cold ground or snow. I get thin plywood and cut a circle to fit the inside of my pot. Coat it in poly to keep it dry. Adds stability in the snow as a plus.
From November to April, I prefer white gas stoves. My Svea 123 is over 30 years and chugging along quite reliably.
From May to October, I prefer alcohol.
Canisters are the easiest to use, but I hate dealing with empties and the cold weather issues. But, the priming rituals for white gas and alcohol stoves are ingrained in my brain.