Why According to some Turntable extremists Pitch Control and Direct Drive is Sacrilege?

I think the OP maybe needs to define and understand the question he just asked.  Are we talking about speed adjustment with a external knob.  Electronic automatic adjustment somewhat continuous.  Are we looking for the right 33.333333333 or that 33.33333333 not to vary or be stable.

The debate is normally over stability and mass vs electronic correction.  This gets into a endless debate which can be resolved  by listening.  OK that would require that someone could hear pitch with some sort of accuracy.

Seeing a stereo/ mono switch has nothing to do with pitch or speed, it might give us a insight into the OP intent or knowledge on the subject.

Enjoy the ride
Tom

Michael Fremer has written, and I agree:

"Regulating a direct-drive motor's speed with a phase-locked loop produces tight speed control and measurably low levels of wow and flutter, but the motor's constant, ultra-high-speed hunting and pecking as it over- and undercompensates in the attempt to produce a consistent speed can create a jitter effect in the mid-treble to which the human ear is particularly sensitive, adding a hard, brittle texture to music. That describes the sound of Technics' now-discontinued SL1200 series of direct-drive turntables, and explains why, despite their high build quality and relatively low price, few are used in serious audio systems, though some listeners claim that these 'tables can be modified to improve their sonic performance."

That doesn't mean that DD cannot be built that doesn't have this issue.  It has been done for generations, but they have usually been quite expensive.  As the prices of high performing belt drive TTs has gone up and that of high performing DD TTs has come down (as for ex. VPI) the market is changing.

That’s weird! The exact same thing just about happens for CD players - the incessant hunt and peck action of the laser servo system trying to keep the nanoscale laser beam on track produces audible distortion. The continual servo action is due to the wow and flutter of the vibrating CD. Coincidence?

There are 4 types of vintage DD turntables:
1. DJ DD turntables ( like - Technics 1200). Most have pitch control.
2. Broadcast and studio DD TTs (like - Technics SP10mk2,mk3 or EMT950, EMT948). Don't have pitch control by default. It was available like the extra feature. In general these TT have much better SQ compared to DJ TT.  SQ is very good by any standard.
3. Audiophile DD TTs (Kenwood KD07, Micro Seiki DD TTs, Yamaha gt 2000, Thorense 701). This group mostly don't have pitch control. SQ is very good by any standard, similar to  Broadcast and studio TTs.
4. Cheap consumers DD TTs.

Alex, SP 10 mk3 definitely does have a pitch control; it’s built into the outboard power supply.

Fremer’s “hunting” hypothesis is the favorite criticism of DD by those who prefer belt drive, but it is very unfair to apply what is or may be a problem with the SL1200, a low end example of the breed, to all DDs. Otherwise we could bring up the inherent speed irregularities of BD due to belt creep and stylus drag.

Different servo control designs had different correction rates. Apparently the one built into the SL1200 makes very frequent corrections that might be audible to some. Moreover it had a cheap iron core motor.

It’s just my opinion but I would not necessarily agree with your sorting of DDs into 4 categories. And you left out many superb products, but I’m sure you know that. No biggie.