Well, it's the kind of "meditative" you get when training martial arts forms. It gets good after a few years of preparation; before that, it's not as fun as spars and way less useful than general conditioning.
Coming from a kendo background, when I had to chop firewood for a few years while living in the countryside, I generally focused on accuracy. The swing is completely different than with a sword, and getting the chop to land at the exact spot (I drew lines with a marker) tens of times in a row was very satisfying, but required a lot of conscious effort to get there. It's not trivial to land a chop at the exact spot you want, and it's also quite hard to ensure the axe travels at its fastest exactly at the moment of impact.
It can be fun, but you need to be into things like that in the first place; plus, having to do it no matter the weather and all the other things you need to do can kill all the joy instantly.