This post is rather disingenuous as you just compared apples and trees... I'm not sure why you compared post-processed data from a propriatary processing engine to real-time data from a different propriatary engine -> thats just wrong on so many levels...
Until every GPS satellite is capable of transmitting on the 3 three frequencies available AND when GPS's use all 3 frequencies, the uncertainty in measurment will always be a problem. This applies equally to trackpoint (time-sync) vs. doppler. Interestingly, you correctly point out RF measurment as a key issue - however, until Trimble (and everyone else) release their propriatary algorithms so that they can be publicly reviewed, their system can rightly be criticised as there is no transparency in the quality of the data.
In any case, trackpoint data is no more accurate or inaccurate than doppler, given the BOTH can be post processed - and neither will be accurate until we can measure ionspheric delay, water absorption, etc. in real-time for the signal path actually transversed for each satellite. (If we lived in the Star Trek Universe, that would be different....)
Its a correct statement that doppler should be viewed with skeptisism - as it should for all data sources. However, that shouldn't cause us to completely ignore it as a significantly better data-source, than any other from similar capability devices.