Role of resistor on non inverting input of LM3886

Per page 8 of the datasheet:
"Prevents currents from entering the amplifier's non-inverting input which may be passed through to the load upon powerdown of the system due to the low input impedance of the circuitry when the under-voltage circuitry is off. This phenomenon occurs when the supply voltages are below 1.5V"
 
It also mirrors the impedance on the inverting input, cancelling any voltage offset caused by input bias currents.


A trick is missed here, as a small C0G ceramic to ground on the non-inverting input would help attenuate any RF going into the amp chip, forming a low-pass divider with the 1k resistor.