Notice that I always talk in terms of the question being asked. And your response to me was phrased in the same terms. You didn't say 10% was "the false negative rate", you said it was "the share of the time for which, when the test says 'no', the answer is 'yes'". You didn't say "the false negative rate is the inverse of the true positive rate"; you said "your changed-order definitions are just inverses [of each other]". Those claims are wildly false regardless of what you think "the false negative rate" means, for the simple reason that they make no reference to a "false negative rate".
> It's hard to read your table on mobile.
The table has four cells, eight if you count the labels. I have every confidence that you can do it.