In_shore, sure - speed accuracy does heavily influence sound quality.
However IMHO speed accuracy is a basic - if not THE basic - request to ANY turntable.
As said before - this is a conditio sine qua non for any turntable.
As this is a basic feature, it is not contributing to the sound quality, but only in negative sense - i.e. if not accurate speed.
So - here it starts, it is not a goal but the mere basic request which has to be meet by nature anyway.
I as a designer simply make sure this demand is meet to the utmost possible as the very first step.
And I for one think this is easy given today's technical tools and options.
Accurate speed can be obtained with idler wheel, direct drive or thread drive.
It can be achieved with belt drive too, but only with much more effort in control.