If the heater DC supply is floating then parasitics control what is happening. Good valves with high heater-cathode resistance may not 'anchor' the heater, and it is plausible for some AC voltage to exist between heater and ground - which could allow hum from not only the heater-cathode resistance and capacitance, but also from capacitance leakage to the input grid. Poor valves with low heater-cathode resistance may better anchor the heater and suppress any AC heater voltage with respect to ground. This is obviously a murky topic, and may be of no issue if your input stage has a capacitor bypassed cathode bias.
As an aside, the Dynaco ST70 and Mk VI don't use elevated or DC heater circuitry, or do they DC ground the heater, they include a capacitor to ground and rely on the heater-cathode resistances of all the tubes, and the various cathode DC voltages, to charge that capacitor to effectively an elevated DC level with negligible AC voltage on the capacitor. They do use an AC heater so their is still the chance of hum to the grid of a valve, but this method also effectively increases the heater-cathode resistance as it likely elevates the heater away from the various cathode voltages.
Aggressive rectification/filtering may show up as transient glitches occurring at twice mains frequency - similar to B+ glitches from ss rectifiers - if that is not well managed then it can appear in the audio signal.
As an aside, the Dynaco ST70 and Mk VI don't use elevated or DC heater circuitry, or do they DC ground the heater, they include a capacitor to ground and rely on the heater-cathode resistances of all the tubes, and the various cathode DC voltages, to charge that capacitor to effectively an elevated DC level with negligible AC voltage on the capacitor. They do use an AC heater so their is still the chance of hum to the grid of a valve, but this method also effectively increases the heater-cathode resistance as it likely elevates the heater away from the various cathode voltages.
Aggressive rectification/filtering may show up as transient glitches occurring at twice mains frequency - similar to B+ glitches from ss rectifiers - if that is not well managed then it can appear in the audio signal.
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