You still haven't mentioned a specific saw, so I assume you are just asking for general knowledge.
I'm unaware of any saw manufacturer that makes different cases for standard handles vs. full wrap handles. So, since the cases are the same, I would guess that either handle would mount on it. logcutter mentioned an extra piece (adapter?) for the full wrap (again, I'm assuming) but they both should bolt up. I've never seen an adapter or extra piece on the bottom of a saw with a standard wrap handle, and I've never used a saw with a full wrap.