I tried both when I was shopping for a head. I ended up picking the Staccato, largely because I found a used one for a good price. Had I gone with the Tone Hammer I would have paid more and had to carry it from Sweden to Turkey while backpacking.
I played Warwick, Music Man, Alembic and Fender basses through the Tone Hammer and an Aguilar cab in a shop. I was able to dial in some very warm and musical sounds.
I especially liked the way it brought out the characteristic "growl" of a Warwick Streamer Stage I. With the neck-thru bass with P/J pickups through this amp, it was easy to approach sort of a Victor Wooten sound and feel.
Overall it felt and sounded really smooth and warm while maintaining clarity. I also like the minimalism and compactness of this head (although it could benefit from another 2 bands of parametric EQ). If I could find one in Istanbul for a good price, I would have gotten the Aguilar.
For more info on the Staccato'51 you can check out my post here: TC Electronic Staccato'51 & Mesa Boogie Standard Powerhouse 2x10