Equalizer in a Hi Fi system

I use EQ software (APO 1.2.1) which is noiseless and to my ear the adjustments I made improve over all sound. I have an aluminum tweeter that can cause listening fatigue and a small ajustment eliminates the problem.

EQ. is useful as a tool not as the only solution , only a part of it ...

The phase relationship is potentially or actually compromised for a reason very deep not many understand well : human hearing was shaped and trained and biased in a certain way by evolution and live in a non-linear time domain of his own which cannot be reduced nor perfectly captured by the linear Fourier tools using abstract concepts which are linearly related (frequencies,amplitude and phase among others) and cannot  describe COMPLETELY  some aspects of concrete experienced  qualitative sound qualities which are perceived in REAL time in specific environment ...

It is why it was proven that hearing beat the theoretical Fourier uncertainty limit more than 10 times times for trained musicians ...

Then you are right there is a trade-off here using EQ. which can be a benefit for sure as any tool but also an impediment or a mask for other acoustic problems waiting to be solved otherwise ...

I then concur with this sentence :

Has anyone mentioned the elephant in the room? Eq’s destroy the phase relationships in the signal. There can be rare times when the benefits outweigh the downside.

The benefits for me outweigh these concerns. By the way, the noise with the EQ in with my gear is negligible, un noticeable. On a classical piano solo with EQ in and volume at 50% (very very loud), I don’t hear audible noise

High end pro audio gear is top flight. No audible noise. 

To be clear, nobody can be against or in favor of the hammer ...

A hammer is a tool we must learn how to use ...Understanding craftmanship as we must learn acoustics...

Hammer and saw are no more craftmanship than EQ. is acoustics ...

We cannot be against or in favor of a tool  ...😊 We use it in the right circonstances  in some way...

The question about using or banning EQ.  as tool  is meaningless because beside the acoustic central questions where all tools are necessary at some time in some way with some problems  ...