For me, the interview has always been way more stressful than anything I've had to do on the job. I think lots of people feel the same way (partially based on what I've seen performing interviews myself).
No.
If you're only willing to consider people who can somewhat function under artificial pressure, then you're passing up a lot of top-notch candidates for very bad reason.
And that's coming from someone who enjoys interviews, because I'm almost always smarter than the other guy (and it's usually a guy) interviewing me. Every job interview I've had has resulted in an offer.[1]
But their unique and outlandish nature sets them so far out of anything experienced in a job situation, except possibly for sales. Trying to give them the meaning you're going for is rather pitiful given you're so earnest!
[1] For similar reasons, I generally decline to interview prospects, because I'm afraid I judge too narrowly.