One caveat about using one of the dual-primary windings as an isolated supply for the HV is that the current is limited. As the load current increases, the output voltage decreases rather quickly. Even when using a transformer well-below it's rated VA output, the output falls.
I used this approach in one of my clocks (fourteen IN-18 tubes) and although all of them illuminate nicely, the anode current on the tubes is a bit lower than spec so over time there is minor (and reversible) cathode poisoning on some of the month and year tubes. In hindsight I should have done some bench measurements on the transformer before committing to the design. If you have fewer tubes (lower current), or add a voltage-boost, this works fine.
Since then, I've stuck with a "hot" supply for the anodes and actually boost rectified+filtered AC line to about 200V.