I think the weight of the padding makes a big difference in the way I skate. I have hardly played any hockey in the past couple of years. 99% of my skating is coaching or public skate. When coaching I have a helmet, gloves, and thin referee shin guards. Public skate sessions have none of that.
In the handful of times I played open hockey in the last couple of years, I felt incredibly unbalanced. I had a hard time adjusting to the center of gravity change. When I pick up my equipment bag, it is pretty heavy. I think skating around only a couple times a year carrying all that extra weight is difficult to adjust to.