No No and No. I use the RCBS Berdan de-capping tool that is in the first photo. Works like a champ and is as fast as boxer de-priming with a hand de-primer.
that thing that you suspect is a plunger is actually part of the tool. It gets inserted in the case and provides leverage when you use the other half of the tool to pop the primer out. Fast and clean once one learns how to properly use the tool.