I used to ponder the heater hum through the speakers with no HT scenario on some of my amp builds (remember when I used to build amps, erks?!). Thinking about it right now, with no HT there's probably no bias to the grid either so the Grid wont be doing it normal job as a control grid either so its ability to 'screen' the Anode/plate wont be there either, hence the heater hum coupling perhaps?
DIET. The heater current is quite large too isn't it, usually in 'amps', that electromagnetic field surrounding the filament/s must be able to couple its way quite quite easily through the close-confines of a Valve.
DIET 2. Another thought, with no HT, there's probably no heater DC lift or offset potential either thats sometimes used to pull the cathode away from the heater insulation to keep the valve happy and within its safe operating limits too.