LS Karakorums look like a good boot.
The thing about mountains is that every day is different. One day the snow is soft, the next it could be super-hard ice. One day it's warm with no wind and firm snow, the next day is cold, windy, deep new snow and miserable.
It would be easier and faster in running shoes. But if it's cold, running shoes might get you frostbite. Or you can play it safe and wear double plastics. But they would be heavy and slow.
Somewhere between those mentioned, from leather dress shoes to plastics, would be good for most days. So you have to interpret our experiences and think about your own. Then decide how much you want to risk.