I know the headsman's axe works just the same as the ebony blade, but no one has said if it can be upgraded. And what about the formula for damage and one-handed gear vs 2 handed gear with 2 handed weapons effected by one handed perks?
Not asking about how to train the skill without using it, asking how to train it up quicker when I'll be doing approx. 125% less damage per hit and thus making it much more slower to raise.
I'm pretty sure it doesn't work that way. I don't think you don't get more exp from an item just because you do more damage with it. I really think the amount of exp you get has a lot more to do with the level of the skill that you're using than the amount of damage you do.
I think the only skill that really works this way is lockpicking. The harder the lock the faster you'll level up.
If you're really worried about it, just gather some gold and train the skill up a few levels..