Originally Posted by Juglenaut

Low ultra low ESR capacitors are typically used in low noise amplifiers to increase efficiency, audiophiles, and other shaman devices. Used in Switching power supplies output stage with relatively high frequencies in the kHz-MHz range. Low ESR capacitors are not really needed at the mains filtering.

Equivalent series resistance, due note I2R heating and may actually cause more DC ripple or feedback.

What kind of frequency is being seen here as ‘lossless‘ low esr capacitors are not a dime a dozen, putting a low esr Capacitor on a rectifier that is not running at high frequency would be pointless as most half, full, or doubling rectifiers run at mains frequency.

You should use a low ESR capacitor when the expected I^2 R heat loss (ripple current, squared, times the ESR), is too much heat for a standard esr component.