An MV is like any other gain control pot, it allows maximum signal to the next stage when the pot is at full rotation, and progressively lower signal amplitude as to wind back the pot rotation.
But ‘maximum signal’ itself depends on the amount of signal gain in the circuit before the pot. (i.e. The pot’s only function is to cut existing gain.)
If you want more gain, you need to either add another gain stage to the preamp before the pot, or change the tube circuit to higher gain tubes (like small-signal pentodes), or mess around with increasing the existing B+ voltage, preamp tube load resistance, bias-point, and cathode bypass caps.
Increasing B+ gives you more headroom but you need about 50 extra volts to notice this. Increasing preamp tube plate resistor size will increase gain (up to a point) - if you’ve got 100k, try 150k, or 220k. Decreasing preamp tube cathode resistance (somewhat) changes the bias point, which can help increase unbypassed gain. If you’ve got 1k5 at V1a, try 1k (or 820R) if you want more gain from an unbypassed cathode resistor. Adding cathode bypass caps to any cathode-biased stage) will boost gain. 22uF will give maximum frequency boost on V1a. You can also do that on V1b if you implement a vibrochamp NFB circuit.