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Broad comments:
An electrostatic shield between primary and secondary and appropriately connected to "something" only shields capacitively coupled signals from the primary to secondary. That something is meant to be vague, but it is not the hot side of the primary. The electrostatic shield has negligible effect on magnetically coupled noise.
Inherently a transformer is a low pass filter because leakage inductance is a series inductor between primary and secondary. This is excluding capacitive coupling.
In the true sense an isolation transformer has no DC path from primary to secondary. In reality with no electrostatic shield there will be some leakage resistance from primary to secondary, but this generally small.
In my opinion once you connect an isolation transformer so that there is a connection between the primary and the secondary it should not be called an isolation transformer.
Without an electrostatic shield more noise is coupled from primary to secondary thru primary to secondary capacitance as frequency increases. This is because capacitive reactance decreases with frequency.
If you connect the primary ground conductor to the secondary ground conductor you do not break the ground current path thru these conductors. Again I am being sort of vague. If by ground is meant earth, then it is not generally a very good conductor, but substantial current can still flow thru earth. I can have an voltage gradient in the earth from one end of a building to another whether a true isolation transformer is used or not.
If I have a steel structure building all bonded together with a concrete floor and all reinforcing rods bonded to the building I can have a fairly good equipotential structure even with the earth having a potential gradient. It is a matter of the relative values of resistance.
If I have a sensitive electronic system battery powered inside a magnetically and electrostatically shielded box I can subject it to most normal magnetic and electric fields with little internal effect. If I use a fiber optic communication cable to communicate with this box I can raise the box to a 1,000,000 V above ground and probably not affect its operation. The key point here is that if I want to solve many electrical noise problems I should use electrical isolation of the gaging and communications areas and not worry too much about uncontrollable ground current problems.
I have to assume the above mentioned Tripplite transformer also includes filter circuits.
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