I only real feel this in confrontational rp, and only then because it is a truly level playing field should all parties have a command of their respective arguments. In a way, I feel this is why I rp at all, not to be in constant confrontation, but so that when I am, some of the old 'pvp jitter' creeps into the experience to give it a bit more edge.
After all, fighting with words is a bit more involved than F1'ing you into the clone bay. Other emotive rp, I generally engage in behind closed door (the familial corp stuff, bickering, recrimination, old friends, loss of friends etc) which mitigates any anxiety due to the 'all friends here' nature of the event. There is still value in the latter for me, but the anxiety, the little spike of 'this could go eitherway, get derp, or be amazing', happens with the general public.
The again my primary motivator is stress (too lazy to try hard earlier, too driven to not get it done before deadline), so that could explain it.