Without going too much into the techniques that a folder cannot safely accomplish, here's my 2p.
A folder has an inherent weakness - namely, that the blade hasn't really got a tang. Because the bottom of the blade is simply screwed/pinned/riveted to the handle, the wear and tear isn't evenly distributed. If you use a folder too heavily, eventually something will give - maybe the locking mechanism, and you could risk losing your fingers, maybe the blade will come off altogether. A full tang knife distributes 'weight' much better across the full length of the knife - so does a stick tang, but I wouldn't say as well as a full tang.
Folders have their uses, as does a full tang/stick tang. Folders are not (strictly speaking & generalising) made for very heavy duty tasks, full tangs/stick tangs are. I see no reason why you couldn't do certain carving jobs with a folder, game prep etc, but if you really need a knife you can depend on through thick and thin, hard wood, soft wood, etc etc, a full/stick tang is the way to go