None of the power supplies mentioned here, including any of the Linn options or the VPI PSs, incorporate a feedback mechanism whereby instantaneous changes in platter speed can be sensed and corrected. What you do is to set the PS such that your platter is turning at 33.333 rpm using one or another technology (recommend KAB strobe device) to monitor the speed while you set the power supply. After that, the platter is on its own; the PS cannot account for belt slip, belt creep, stylus drag, etc. Phoenix Engineering made an aftermarket power supply with a separate tachometer that connects to the PS and feeds back speed errors that could be due to any of the above, which are then corrected. PE no longer markets these devices, but SOTA has worked out a deal with the PE engineer, Bill Carlin, and essentially PE equipment can now be purchased through SOTA. Some think this sort of mechanism introduces new problems due to the act of correcting the aberrant speed, which, such persons think, has the potential to be as audible as is any momentary degradation of speed control. I don't agree based on my personal experiences.
The mentioned method of running the turntable motor on reduced voltage to reduce noise does not always work well with all types of motor, and carries with it the penalty of a loss of torque. In fact, I think at least one of the VPI devices works by lowering voltage and/or current. I don't know whether Linn uses an AC or DC motor, but if you can adapt an AC synchronous motor to your Linn, then in my opinion the very best option is to buy such a motor and the SOTA/Phoenix Engineering products to run your Linn. In my experience, ANY competent motor power supply makes a huge upgrade for a belt-drive motor, but the PE stuff is the absolute best.
I am not a big fan of suspended turntables with lightweight platters, but if I had to optimize one, I'd go that route. I do use the original PE gear to run my Lenco, and I am very happy with the results.