Well, (for what it's worth!), I'd say I agree. I'd hazard to say right-handed too as he seemed use his right hand for most things, nicely shown above. Except however, for his reins, for this he favoured the left. But this isn't unusual. Traditionally the the left hand would be reserved for the reins, (to halt and to steer etc), whilst the right hand could then be free to wield a sword, hold a weapon or flag/banner, or, to point to a direction etc.

I'm left-handed but I hardly use it at all! I only use my left hand to write. For everything else I use my right. So he could be tricking us after all, but I do doubt it. I think in this case it's safe to say that Nicholas was most probably right-handed. What does everyone else think?
For many years those who were naturally left-handed were encouraged to hide this fact and made to use their right hand instead. George VI was just one of many who had to do this rather uncomfortable and arguably quite damaging change