The heater circuit looks pretty simple to me, start buzzing things out and find the break, starting by confirming you have continuity through the heater right at the neck connector. Perhaps one of the inductors on the neck board went open?
It is possible your multimeter may not like measuring the filament voltage as it's running at 15KHz.
If the oscillator is running (must be since you have HV), the heater is there, the winding in the flyback is there, and the circuit between is all there, you'll have a hot heater.