Detune is driven by pitch, not time/modulation. We are talking micro-pitch not thirds of fifths but still pitch. Detune has nothing to do with chorus or flanging. You can see this clearly if you look at the FAT setting above.
Wrong.
Detune is like chorus, because it sounds very much like chorus, and because its effect is similarly constructed.
Chorus is simply
a slight change in pitch combined with
a very slight delay, while
including the original signal.
Detune is a very fine change in pitch (cents). Then you add a very slight delay to it (or twice for stereo) for more effect, because every detune product out there has delay as well.
Of course, how much pitch and delay is available is variable and dependent upon the FX unit.
A harmonizer gets its name from harmony (i.e. some sings a note, then another sings maybe a 3rd above, and another sings maybe a 5th above - at the same time).
The Pitchfactor and H9 (which uses Pitchfactor patches) are capable of harmonizing a signal and adding several intervals above/below the note you are playing
Typical Brian May guitar parts are harmonized.
So, harmonizing and detuning are two different things (my point for Demanic). Although some FX units (PitchFactor for ex) do both.
You need to go back to FX school, bubba.
You can start by reading this:
https://www.teachmeaudio.com/mixing/.../chorus-flange
The chorus effect processor works by delaying the input signal by about 15 milliseconds and mixing it back into the original signal. The delayed signal is then slightly detuned in pitch from the other which is controlled via the modulation rate and depth controls. A low modulation rate and depth adds a subtle change comparable to an ensemble.
See how that works?