yes, the synchrodyne receiver did use a PLL to demodulate AM. the PLL kept the detector (in this case, a balanced modulator/analog multiplier) phase locked on the received signal. the synchrodyne could pick signals out from below the noise floor (either -3db or -6db, i forget which). somewhere in the 70s or 80s, there was renewed interest in the principles of the synchrodyne, with a new name "direct conversion" receivers. balanced modulators also became the basis of SSB (single sideband) transmitters and receivers (the difference being they aren't phase locked to the carrier, because SSB discards the carrier). balanced modulators are also used a lot in software defined radios for conversion of RF to baseband, and the separation of the signal into I and Q signals for the DACs