The heater supply in this design
is regulated to the adjusted voltage.
The stock transformer has a 9.5V secondary. That's about 12.7V after the rectifier diode. At 600mA heater current, another 2.82V is lost across the 4.7 ohm filter resistor, bringing us down to 9.88V at the regulator input. The regulator must maintain about 1.5V forward bias so that means the voltage feeding the rectifier cannot drop below 6.3V + 1.5V = 7.8V.
That gives us about 2V of margin, or about 20% of the secondary voltage ratio: that means the incoming 120V line voltage would have to be grossly out of spec before the heater voltage started to lower (and this is completely ignoring the fact that the heater has 10-15% tolerance all by itself).
As far as the plate voltage goes: the tube will operate correctly with anything within 20V or so of the trimmed voltage: the bias supply might suffer a bit, reducing capsule sensitivity if the voltage were to loose, but again the mains voltage would need to be way out of whack. If it was good enough for AKG...
I'm not sure there would be much benefit to a choke in the B+ line: this circuit doesn't pull a lot of current, and the single tube current range is pretty small (from about 0.1mA to about 2mA). The PSU caps are more than capable of supplying this between charging cycles. This is unlike a guitar amp that might have 50-100W output power swings, this design is essentially operated as a high-impedance "constant current source".