Not at high levels. It certainly isn't in high level judo, its not enough to make someone quit in high level wrestling, and I'd be surprised if it was in high level MMA. What makes high level competitors tap is the knowledge that they're being unavoidably damaged.
Now if you can show me examples of high level competitors tapping to things with no damage component - pressure points, that sort of thing, then I'll agree you're correct. But all I've seen is people tapping to things which are damaging them.
tapping to pain. not sure what "pressure points" can effectively be applied in an mma match.
and not sure how you differentiate the thought process behind tapping to a limb attack. you can't attribute it to only a well thought out risk assessment on how long recovery will be.