Yes, winter can be a tough time for the higher heels.
In snowy or icy conditions I also prefer something lower and a block heel, such conditions can even be difficult in flats. But boots with a low block heel can be just as good. It's been like 15 years ago that I last wore any flat boots for winter, and I never had any problems since.
This reminds me of a funny story a few years ago. We were (once again 😉) out at a christmas market with friends. Because snow was everywhere I wore a pair of boots with a block heel, something around 8 cm. While at the christmas market, we saw that on a nearby mountain there was also a christmas market which looked nice, so we decided to visit this one too. It was only a small mountain, something like 150 meters of altitude from the bottom and only accessible via a footpath. My husband and friends asked me "are you sure you can handle this path in your heels?", but I had no doubt because they had a good sole, block heel and weren't that high.
And I wasn't wrong, it was really easy. Uphill was pretty much the same as with flats, and downhill I even had a bit of an advantage when walking on the side of the footpath where the snow was a bit softer. Because my heels could grip into it.
I sure got some funny looks when other people obviously struggled more in their Uggs and such than me in my heels 😀
So this is my proof that heels can be as good as flats or even better in snow.