Usually, the heat generation of an electronic tube mainly comes from the energy released by its filament (like an incandescent light bulb). Compared to this, the heat generated by the anode voltage is still negligible. Therefore, if a voltage conversion component is not placed inside the microphone, a lower filament power means lower heat generation. Considering that many commercial products nowadays excel in placing electronic tubes such as ECC88 in such small microphone housings, I believe this will not be a problem