For very light work yes. For all around camp work, no. They were originally designed as a garden/pruning tool for Jerry's father, and they work brilliantly in that capacity. In an emergency, yes, they will cut anything that needs to be cut, but they are not optimum for wood over 1", unless perhaps you are using a baton. Adding a Paul's Hatchet to your camping lineup would give you a nice additional capability though. For example, you could do all your heavy cutting with a FSH, and do your finer whittling and kindling with the PH.
A PH would make a nice skinning implement, but you may find that you need to thin the edge out a bit for that.
Given the new lineup and what's likely available in the Exchange, I'd recommend the SFNO, FSH or even the massive FBM if all you're looking for is chopping capability. Take a look at SRKW offerings as well, the Battle Rat, Rat Mastiff and others would do very well. If you can find an old SH-Ergo you'll be set for life.