This is true, but apparently the compromises are slightly different for every piano. So good electronic tuning needs to first measure the individual characteristics of a piano, and then calculate an optimal solution for this piano, and only then the actual frequencies to be tuned to are known.
Such piano tuning apps haven’t existed for long: Entropy-based tuning - Entropy piano tuner
And on their page about “testing the method” they report duing a double-blind test with a group of some professional piano players and a group of some “semi-professionals”, i.e. piano students at a University of Music and serious amateurs. The semi-professionals couldn’t tell the difference, the professionals still preferred the hand-tuned piano.
So, yes, the machines will win this one, too. They are very close to winning, but they haven’t actually won yet.
I’m only “slightly sensitive”. I noticed that certain intervals had some special “magical” quality just after being tuned by my old piano tuner, and I just don’t notice that after the mostly machine-assisted work of the “decent” piano tuner I had the last couple of times.
