Any heater will work on DC. Batteries used to be common. The hard part used to be getting useful operation with wall-power. That was one reasn heater-cathode tubes were invented.
When using AC (hummy) heat, you want low voltage for low hum. But for a given power, low voltage is high current which is fat copper which is costly.
There's probably an optimum near 2.5VAC or 5VAC. That's what most of the early AC-compatible heaters were.
But then came a fad for putting radios in cars. 6.3V cars needed 6.3V heaters. This was also a period when a lot of new-improved tubes came out, and they mostly hewed to the 6.3V standard.
There's other applications where a higher voltage is better. When you put two triodes in one bottle, two heaters with four leads, you can bring it out on 3 pins and let the desugner wire it for either 6V or 12V use.
*Clean* DC heat won't hum. (Sloppy "DC" heat buzzes.) So voltage is not an issue as far as amplifier operation.
Most ways of making DC from wall-power have several voltage-drops. Rectifier drops 1V. FWB drops 2V. Regulators need 3V of excess raw voltage to be sure of delivering clean DC. Capacitors 16V and over traditionally had better space/cost-efficiency than 6V caps.
If we have 5V of voltage-losses, then making 6VDC is a lot of loss: 5V/11V. If we make 12VDC the relative loss is less: 5V/17V. 24V is even better: 5V/29V. That's pretty good, and if we went further we'd hit the 35V input limit on 1-buck regulators.
So while DC heat eliminates AC around preamps, and higher voltage (lower current) may allow a smaller wire (though we usually pick wire for mechanical strength), there's a lot more parts (to go bad) and more waste heat. Don't do it until you NEED to do it. Guitar-level signals and good twisted wire is low-enuff hum for most reasonable-gain gitar amps.
There is NO reason to regulate. Tube heater voltage should be "close", but tubes ain't as fussy as incandescent lamps. Do you (did you) regulate your 109V-127V wall-outlets to 120.0V to match your incandescent lamps? Nah, my 120V lamps burn-out a little early on my 124V but so what? Lamps are 1,000-hour, tubes are more like 10,000 hour. Instead of a regulator, use a C-R-C filter. This takes buzz off the heater feed, and gives you a resistor to tweak to adjust whatever raw DC voltage you get down to what the tubes want.