the schreader itself is the primary seal, you should only need that. the seal on the cap is there to act as a secondary seal, and to keep contaminants out of the fitting.
if you get a little bit of leak past the main seal the schreader begins to act like a pressure reducer so the plastic cap with its ring seal will deal with the little bit of pressure and everything works as it should with the gas staying in the system. in the event of a total failure of the schreader, (especially on the high side) the plastic cap is unlikely to hold back full pressure at full load on a hot day.

