Ct0517,
A pedestal is nothing more than a 'plinth' :^)
The issue of having isolation between the arm bearing and table bearing can be illustrated, in extremis, by imagining a jack-in-the-box with an immovable armpod next to it. After jack has popped out of the box and does not bounce anymore, he is perfectly stable and unmoving at the end of spring. As long as he is perfectly still with absolutely zero resonance, the relationship between your tonearm pivot and jack's nose is always the same, whether Jack is encased in concrete (a plinth) or perched on the end of his spring (on top of a 'platform' which moves in relationship to the world around it. As soon as there is any resonance in the system however, jack will move with regard to the tonearm pivot (and therefore the stylus), and may do so in slightly unpredictable ways. In any case, the slightest movement will cause a kind of intermodulation.
If you fix Jack to the platform your armpod is resting on in order to keep the relationship between his nose and the armpod-mounted arm pivot perfectly constant, you have effectively plinthed him.
If Jack has some kind of internal resonance, the method of fixing him to the board may have more or less resonance. This is the difference between a bad plinth and a good one, but the inherent goal of a plinth is to keep the relationship between the arm's pivot/bearing and the motor bearing as stable as possible. If one removes the plinth which surrounds the motor, and mounts it naked on the same table as the armpod, one has removed an intermediate coupling material (the one which connected the frame of the motor to the bottom of the footers, but one has not changed the concept/goal, one has simply changed the method of execution.
If, however, you stick your TT motor on an isolation base which is not the same base that your arm bearing is resting on, you are effectively changing the distortion relationship. You may find that a substandard plinth will resonate unpleasantly because of a resonant frequency of the material which is in the audible range. If you change this frequency to a 3-5Hz frequency (the goal of most isolation systems), you have exchanged the plinth resonance-induced distortion for one which is like an off-center 45 record.