Check this out: https://www.youtube.com/watch?v=Aw2ifJFtERA&feature=youtu.be
Great result - better than most.
The reason why Rega used glass for the platter - if quality glass is selected, it is flatter than almost anything else in sheet form. Only requires making hole in the center and machining the circumference. All other materials require machining on all surfaces in order to achieve the same tolerances and the platter results
in costing more.
Glass is not an ideal material for the platter - it is too "lively" and impedance mismatch with vinyl is great. That is why acrylic, delrin and simiar "plastic" are widely used now after pioneered for the TT use by the Pink Triangle. Rega itself later went as only of few ( Kyocera was the first IIRC ) with ceramic platters in their top models. At least the P7 platter I have seen and heard in action was impeccably machined.
However, adding a felt mat to use between the platter and record does not strike me as the best possible solution to the problem. Both for dimensional accuracy as well as for the resonance control.