Climbing on rollers and on snow

Skate rollerski uphill work this past fall finally allowed me to do
intermediate hills on trails around Quebec city this week. However,
while enjoying my newfound endurance, I was also disappointed to find
that my climbing is very assymetric - that is, I have a very strong
preference for the right side. What's puzzling is that on rollers only
a couple of weeks earlier, I actually perferred the left side for
climbing, though not to the extent of my right side preference on
snow. While the left side feels more natural for cruising the flats
both on wheels and on snow, it feels very awkward when climbing on
snow. One thing I noticed with longer skis rather than rollers
attached to my feet is that my left foot doesn't twist outward as
naturally as my right one does, and so it always wants to maintain a
pretty shallow angle to the direction of travel. It also tires out
much faster than the right one - all the roller training
notwithstanding.

I'm wondering if anyone has had a similar issue and how to approach
the problem which seems to be rooted in physiology.