If bleeder is what I suppose, then it is also sometimes called as a signal grounding (as a free translation) for those equipment that needs to have somesort of reference to the ground to work properly. It is basicly a many megaohm resistor to allow some tiny amount of current to flow and therefore reference the DUT to mains ground. It might also be for some odd case where ie. some vande graaf generator or something is generating high amounts of electric fields, which lifts the DUTs potential over the isolationtransformer specs as a whole, but this goes over my (current) knowledge.
Don't ask more details. I haven't read any standards or regulations (they are so awfully expensive
) which goes to specific to safety equipments and their design requirements in laboratories and repair shops to even ballpark a reasonable values, besides US propably have own regulations, even though electric safety standards are pretty universal.
In general safety isolation gives only that much safety. If you touch two potentials in DUT which is floating you still get exactly same shock that non floating DUT. If you have that bleeder the amount of shock and where and how you get it is more complex.
Edit. Also worth to mention is that when you put that non isolated scope ground to galvanicallyisolated (aka floating) DUT, then that point is ground and if that point you did ground were ie. the DUTs nominal 120Vac line then between your scopes case and DUTs nominal neutral lead do have 120Vac potential difference. That means if you have as idiotic electron tweaking workbench like I do where grounded heat radiator is in reach of your legs, it will effectively zap you if you are foolish and touch the DUTs case if it happen to be in contact with the nominal neutral. Since it does have 120Vac potential difference between your scopes ground lead and that is in same potential as the grounded radiator under your workbench.
Why my brains always try to put US mains as 120Vdc and not AC. :/
Sorry, million edits I should have thought first and only then post.