"...sometimes heaters will ground out to cathodes."
Yes, that can happen too, but again, it's pretty rare. On the assumption that this is a stock Vibroverb (as far as filament wiring goes) the cathodes of the output tubes are at ground and the CT of the 6.3 volt winding is at ground either by virtue of a genuine CT or via the famous twin 100 ohm R's. In that case, the worst case is that some part of the filament is 3.15 volts away from ground, which is the way things are normally. Even if there is cathode bias and the K's are held off ground via a resistor, that resistor is not dropping any volts before the tube conducts...so if this happens on turn-on, it's probably not H-to-K short (causing el flasho) in that case either.
Some tubes do this. The only thing I might suggest is to measure ohms across the heater of the flasho tube with the tube cold and compare it to another tube of another mfr. Plug the tubes into the amp. Turn the amp on, let it heat up for a few minutes, then turn the amp off and again make the ohms comparison between the two heaters (you'd need to pull the tubes so as not to be measuring across the "zero" ohm filament winding. Just for your own curiosity. Not much you could do about it unless you're ready to install some kind of choke in the heater line.