I don't think it's like that at all. That exact 90 degrees][ would be stupid and impossible to judge. I think that there is some sort of understanding about how many degrees short deserves a q, even if this is not spelled out precisely in the published rule summaries.
This is a shortfall of the judging system, actually. For every other case, the rules have defined the range, quote Technical Panel Handbook for Singles Skating:
A jump will be considered as “Under-rotated” if it has missing rotation of more than a ¼ but less than ½ revolution. An under-rotated jump will be indicated by the Technical Panel to the Judges and in the protocols with a “<” symbol after the element code.
and:
A jump will be considered as “Downgraded” if it has “missing rotation of ½ revolutions or more”. A downgraded jump will be indicated by the Technical Panel to the Judges and in the protocols with a “<<” symbol after the element code.
Then, compare it with this:
A jump will be considered as “quarter” if it is missing rotation of a ¼. This jump will be indicated by the Technical Panel to the Judges and in the protocols with a “q” symbol after the element code.
Of course, nobody lands exactly on the quarter. As a result, the q-s have become the mess we witness every other competition with half of the skating community complaining about uncalled q-s and the other half complaining about unfairly called q-s.
Am I mistaking but, prior to when q-s were invented, was there defined an under-rotation in the range between 1/4 and 1/8 (which meant reduced GOE back then)?
This would make more sense IMHO.
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It's on the skater to perform so well that the judges will not be undecided about whether their elements are pristine or cheated.

