Does an isolation transformer make CRTs any safer to work with?
From Wikipedia aquadag. Note that the inside surface is coated with aquadag, which is wired to +High-voltage. The wiki considers this the inside coating:

In some CRTs the aquadag coating performs a third function, as a
filter capacitor for the high-voltage anode supply.[4] A second
conductive coating is applied to part of the outside of the tube
facing the inside coating. This outside coating is connected to the
ground side of the anode supply, thus the full anode voltage is
applied between the coatings. The sandwich of the two coatings
separated by the dielectric glass wall of the tube form a final
capacitor to filter out ripple from the anode supply. Although the
capacitance is small, around 500 pF,[4] due to the low anode current
it is sufficient to act as a filter capacitor.

If your CRT has that dark dull grey aquadag coating on the outer surface of your C.R.T., then you should also notice that it is somehow grounded - usually with a spring-loaded strap connection. This ground connection makes the &quot;~500pf&quot; capacitor into a high-voltage low-pass type filter.
A bare C.R.T with un-grounded outer aquadag is a hazard.
Most large television C.R.T. have an outside conductive aquadag coating. If ungrounded, it can charge up to kilovolt potentials, offering you a considerable shock. There should be a path back to your high-voltage supply, and a path to earth too.

The C.R.T face often also collects some charge from the high-voltage DC supply. Not a lot, because the equivalent capacitance is very small - not enough to pose a significant danger to you when you wipe it.
But charge-transfer would still be dangerous to electronics - I'd not be handling loose semiconductors during or after wiping a CRT face.