There is only one competition where the level of pressure cannot be mitigated down to it's synthetic, which is to say totally and completely self manufactured, state. That's the one where if you lose, you die. All other competitions pale in comparison when your opponent is trying to kill you and your aim is to do the same to him. Thinking a competition is more "pressure" based on the number of people watching or the risk you voluntarily assumed, is nothing more than egotistically arrogant thinking.
On our basest levels the only reason we do compete, and keep score, is to synthesize that survival performance pressure, that for the most part, has been removed from most of our lives. Overcoming your opponent, whether it's the driver in another car, the batter at the plate, in the 9th inning on a full count, that triple axel that tells the judges you're the best in that moment, that turn, on that track, you finally figured out how to go through flat out, whether in virtual reality or otherwise, can all produce those surges in adrenaline that make your heart beat faster, the sweat pour down and the fear of failure magnify to, in some cases, unbearable levels. The struggles that preceded those moments, and the value each individual places on them are all that matter when it comes to "feeling the pressure". The pressure is still an internal reaction, decided on either consciously or sub-consciously by the individual feeling it.