To add to your list I know that in 1981 Edgar played an Oberheim OBX live, at least here in Los Angeles.
TD couldn't have had an Oberheim Xpander in 1981 because they hadn't been made yet. Xpanders didn't come out until the mid 1980s. What they probably mean is an Oberheim SEM or Sythesizer Expander Module, bascially a stand alone voice from the Oberheim 4-voice synth.