No, and yes.

The difference is obvious even those who don't distinguish pitches much (can you hear the difference in the video linked in the article - https://www.youtube.com/watch?v=7GhAuZH6phs&t=21s ) because the 'wrong' one played in a scale or a chord sounds really, really horrible; that's why we have all the work done on 'tempered' tuning to reduce the gap so that everything is just slightly off.

The relationship between pitch and frequency is not simple. The physical frequency for a pitch can be derived in several ways.

One example is the Pythagorean system where the interval of fifth is set as a frequency ratio of 3/2. This system yields clearly distinct frequencies for D# and Eb.

In 12 tone equal temperament, a semitone is set as a frequency ratio of 2^(1/12). In this system you get the same frequency.

You can also derive frequencies from simple fractions of the scale root. In this instance you would generally obtain D# and Eb from unrelated roots.

It would be possible for most humans to notice something but feel indifferent, or for a sizeable minority to really hate something. So just abstractly I'd say that yes you do need more than those two questions.

Are two competing programming languages Turing-complete?

Can end-users of the program tell which one was used?

Do we need more than the two questions above?

If programmers thought like this HN would be empty!