Tomahawks are weapons first, that are sometimes pushed into woods duty. They can do certain jobs, but certainly not as many or as well as a hatchet will do. The hawk has a thin face meant only for penetration, not for splitting or chopping. They also usually don't have very broad edges (yes, I know of several examples that do). I put what is basically a scandi edge with convex microbevel on a trail hawk, and it's quite sharp. It'll bite very deep into wood, but then you have to yank it out, and it still doesn't cause the wood to 'chip out' like you want a chopper to do. The thin face also makes it more dangerous in the case of a miss. Lastly, the handles aren't meant to sustain such heavy and frequent blows. They just don't have the right angles and thicknesses there.
Just my two cents, I know lots of folks here have them and prefer them. Whatever works for you!