Winter Panzergrenadiers and mixing infantry kit

So I ordered some Winter Panzergrenadiers, and I was wondering if it would be at least somewhat historically accurate to have some non-winter infantry in my force, too? I would probably paint them in winter colors, but the main thing I'm wondering is if the Germans had some guys in good winter clothes and some not in the same battle. I'm thinking around the ballpark of The Battle of the Bulge, so that's the setting I'm going for. I was mostly considering non-winter infantry because it seems like the winter infantry is pretty limited, and also I think I bought the last platoon of Winter Panzergrenadiers they had in stock.