I would use the knife intelligently. I do the same thing with my Dozier Pro Guides knife. I would not try to split a 4" log down the center such as you might do with an axe, but I might split off some smaller pieces with the knife. It just depends. I don't really baton much as just seldom have the need or desire to do so. A folding saw is your friend. If you baton a lot, I would consider a small hatchet or use the new knife and don't worry about it.
It has been extremely wet this year and if I just baton some smaller pieces off the outside I won't get to the dry wood in the center, the whole purpose behind batoning. It's also kinda hard to set wood on its end in the woods after you've chopped lengths of fire wood, even cut with a saw and no flat saw cut stump around hatchets and axes are tough to use in the woods off the trails unless you hold it with the off hand and swing a sharp choppy thing at your hand.
OP, asking if you should baton with it is like asking permission to drive a Porsche fast. You don't ask, you just do.