They both get the job done. Age old argument done many times over. Question might be which one is more all around versatile while adequately getting the job done along with usefulness for other things.
For me, a chopper is 9-10” of good quality well heat treated steel with special attention paid to the comfort and safety of the handle. Those Carothers and Busse posted above are good ones and will definitely chop but are pretty pricey to very pricy on my scale. Doesn’t mean I don’t have one! Some folks defend hatchets and some choppers. Endless battle.
Beware of talking yourself into something else you don’t necessarily need. Personal experience talking there.
Possibly you could borrow one to try and compare it with your hatchet side by side on the same wood before heading down that slippery slope.
Just my thoughts
But whatever you do, do not put a lanyard with beads on it!