Thanks. Care to share a uMatrix setup that reports a non-unique fingerprint on https://panopticlick.eff.org ?
My suspicion is that fingerprinting by the core domain will actually get worse since your browser behaves so differently from stock browsers (which is after all the point of uMatrix :-) ). The majority of trackers tho will be third party (such as Google analytics). Very few sites roll their own trackers because it's hard to get right, and some great ones like GA is free. For those that do, I'm not too worried anyway, but that's certainly just a personal thing.