Many Quad II amplifiers were bought before stereo was common, then later some people would have bought a stereo control unit and one extra power amplifier. This is possibly what has happened in your case, in 1957 few people had stereo, by 1962 it was quite common.
There was no matching required, if both amplifiers are working to specification all is fine. Obviously if a new amplifier and a heavily used 5 year old amplifier are used as a pair it`s possible there may be a slight difference but this should have been sorted out by now since very few units of this age would not have been serviced at some point.
The same points apply to ESL 57 speakers, very early ones would have been purchased singly for a mono system, but again they would have been serviced in the intervening years.