I will probably be burned at the stake for heresy for this, but I just traded off a Wetterlings hatchet (13"), which I wanted so much to like because it was a neat looking and nostalgic tool, but I found it to be useless for chopping (especially dead wood) and ineffectual at best for splitting. Too light for the obtuse grind, too short to get any speed to compensate for the lack of mass.... Laying down a stick to split was better, but I am as well off to use a big knife at that point.
Maybe I was using it wrong, but I have swung an axe (32" - 36") for forty years or so now and have not had the same issue with a decent axe. I have a Wetterlings 26" axe that is a gem for chopping. I have a Cold Steel Rifleman's 'hawk equally as useless to me as the 13" Wetterlings was.
If all I have to do is split kindling, I baton a Kabar-Becker BK9 and it's a great tool. I have a Ture Temper hatchet (40 years old) that splits better than my Wet' did and definitely chops better. I still prefer my BK9 for smaller splitting chores.
For the life of me, I don't understand how ol' Nessmuk got any use out of his ultra-light axe. I still have much to learn, I am cetain, so maybe some day I will learn for myself the purported benefit of a short, light axe.
Small axes still give me the willies but I am comfortable with a long handled axe. Still, I check SMKW daily to see if they have gotten the 19" Wetterlings back in stock because I WANT to think that it is a practical tool for me, I just still need to be convinced.
My vote would be for a lightweight folding saw for the occasional cross-grain cutting that may be required and a stout larger knife (even "large" may not be necessary) for splitting chores. If what you have to split is too large for that, a hatchet is not going to be any less taxing and tiresome to use.