palm carving vs. straight chisel carving

[Tom Jones III]

I would like to try a little low relief carving but I am not sure what the difference is between these two styles of carving tools. Obviously the palm tools cannot be hit with a mallet, but is that much of an issue with low relief carving? What are the other differences?

Note, I am not asking about the relative value of the brands pictured, the pictures are only so that I can explain the two different styles of tools that I am asking about.