Those amplifiers had lots of feedback, but very poor gain bandwidth product. That was why they had bad distortion products, and why they had poor output impedance at high frequencies.
They had excellent THD and IMD. Designers were sure they have to sound great. In 1969 I almost bought inexpensive 100W amplifier modules with incredibly low THD and IMD. NFB increases bandwidth and reduces output impedance. 40dB of negative feedback will reduce output impedance 100 times.
Even when RF gets in, short of causing oscillation it may not even do anything.
You don't even need nonlinear element, like diode, to demodulate. It is enough if amplifier's slew rate for positive and negative signal is different to demodulate, for instance, AM radio. It is called "rectification phenomena" and is very common to opamps.
Yes, high impedance nodes are sensitive, but output of an amp, in spite of lower impedance (many ohms at high frequencies), is an input to the amplifier with 100x higher gain (for 40dB NFB) than amplifier's normal input. We want to reduce phase delay (improper summing of harmonics) at high frequencies caused by limited bandwidth. For that we increase bandwidth to more than 100kHz (my AHB2 has 200kHz@-3dB) getting very close to AM radio stations, not to mention switching frequencies of SMPS present everywhere (computers, TV) and even LED bulbs.