To answer your question, yes! It feels odd to me walking around with the thick pad. In addition I find that a thick pad does more harm than good as the thick pad causes unwelcome pressure for me. Your experience may be different!
I have gone to tri suits/shorts with very thin synthetic pads or my favorite which is the traditional wool and chamois which I get from Kucharick. Does anyone know of another (less expensive) source for traditional wool shorts?