My take on LED bulbs is that the conventional ones use a DC switching supply, but the ones with the new "orange filaments" which are actually strings of series LEDs that add up to about 90 volts and then I assume a resistor in the base (no switching?)
I dont think one can use a capacitor reactance to drop voltage reliably (without additional safety limiting devices) because the drop at 60 Hz might be fine, but the drop when a 1ms high joule transient comes along, the energy goes right through the capacitor and dumps all that transient into the LEDs with no protection...Just my theory, I have not proved it in practice. I do remember reports in the 60's when people were building their first LED clocks and using a small capacitor to sync to the 60 Hz line. That sooner or later, a high-rise transient would wipe out the clock?
My understanding is that many LED bulbs use series strings of diodes
with the current limited by the reactance of a capacitor. This seems like it ought to be quieter than the ~20 kHz AC inverter commonly used in CFLs.