The grounding transformer is a form of protection, and therefore maybe subject to damage to protect the generator.
Then again, if you don't have any faults on the generator, you should not fail the grounding transformer.
My recollection of the several large generators was that the copper bus bars off the unit have the CT's on the bus bars. And while the intent is to keep the run short between the generator and the grounding transformer, it is usually a few meters long, which is enough to add another CT. That said, how the CT is mounted maybe an issue, as it should not be touching the bus bar, and suspended from above.
Also the bus bar from the generator to the iso-bus is usually just as short, because the iso-bus is to ensure any bus fault is a ground fault, which the magnitude is kept low by the impedance on the grounding transformer.
The iso-bus then runs to the auxiliary transformer and the GSU.
There may be one or more auxiliary transformers, and an exicator transformer.