There is no motor (direct drive / DD) that has a quiet bearing for use in a turntable.
All direct drive turntables suffer from noise being transmitted from the motor to the platter.
A decent bearing can be placed in a low priced belt drive turntable. This is huge all other factors being equal.
Let us compare the peak wow and peak flutter of the Technics SL1200 (since you seem to have a low opinion of it) and the Rega RP3 (since it is the mid-priced model in their line-up and you have specifically mentioned the Rega name), as these parameters have direct bearing on the quietness of the motor and the tolerance of the platter bearing:
Technics SL1200: 0.01%/0.01% (source:
Technics SL-1200 - Wikipedia, the free encyclopedia)
Rega RP3: 0.09%/0.02% (source:
http://www.rega.dk/produkter_files/pladespillere/rp3_test_hifi_news.pdf)
The Technics has 8.8 times better peak wow figure and twice better peak flutter figure. And it wasn't even designed to be a "hifi" player for the home.
Again, this applies if you take vinyl playback seriously. The choice of a low priced DD versus a low priced rega belt drive turntable is obvious if fidelity to the music on a record is the first priority.
I haven't heard any Rega turntable so I am not competent to argue or support your contention, but I do believe many cheaper direct drives were also quite good, both on measurable technical parameters as well as on subjective listening impressions.
But I agree with you on one front - quartz speed control takes away the drive of DDs.
And just for info, modern belt drives tend to have large and heavy platters so that it has higher momentum to prevent speed variations due to stylus drag and also when the program material becomes complex. Small, quiet motors as used in belt drives have to give some somewhere and that's in the low torque. Direct drives excel in that department (e.g. Technics SP10/II has so much torque that it cannot be stopped with a finger pressing down on a spinning platter! and will reach 33-1/3 rpm speed in half a revolution). But despite that it doesn't have the musical drive of a torquey idler drive which is not blessed with fancy quartz-controlled speed regulation. But an idler tend to have noisy motor that needs some serious damping.
My point being: each type has its strength and weaknesses. We choose based on what aspect of musical reproduction is important to us.
Listen to a Technics SL1200. There is little not to like about its sound. Its supposedly "noisy" motor doesn't make some audible irritating noises. Or give a vintage idler a try. You will be amazed by the slam and the drive in the music.