An interview where the interviewer favors people who look at documentation less often is already deeply flawed. In my experience, the best programmers spend the most time reading documentation, and the worst programmers are the ones who never read docs and never ask questions.
I would never want to hire or work with someone who read docs only once a day.
Do I understand you correctly that you're now saying that multiple times per day is acceptable, but d/i times per day, where d is the length of the day and i is the length of the interview, is unacceptable?
This is still nuts. There is literally no amount of documentation checking that is too much, as long as the guy produces results.
I would never want to hire or work with someone who read docs only once a day.