I don't know about men and women in general, but I do know that my husband loses weight a lot faster than me by just cutting out one or two things e.g. Potatoes.
I've not been walking a lot over the winter but have returned to it again this month. I am struggling a bit with BGs, for example the day before yesterday I had roast lamb, a spoonful of soft polenta, roast squash and kale followed by some raspberries and strawberries and was hypo almost as soon as I finished eating, which required glucose tabs, a cereal bar and a temp basal of 60% until the early hours of the morning. You can't lose weight if you keep having to eat for hypos.