No,- analog synths aren´t computers because they compute nothing.jksuperstar wrote: (By "Analog computer" I mean the usual analog stuff we call analog. like synths, and filters, and mixing boards. Yes, these really are analog computers, very often calculating math based designs, or like the original synths...trying to model a wooden or brass instrumentAnd those were shunned at the time because they weren't real enough!)
Since the preset memory system was introduced in analog synths, these were "digitally controlled" analog synths.
The only computing was about processing the positions of frontpanel controls for digital storage and recall.
B.t.w. signal degradation came up w/ exactly these preset memory system because the formerly continuously variable filter cutoff frequency p.ex., now became a stepped curve which was necessary for a frontpanel´s knob or slider´s position to be stored in digital preset domain.
That ruled for every parameter knob on the frontpanel of a real analog synth offering a preset system,- but the result was close enough for "government work" ...

You say the analog synth tries or tried modelling an acoustic instrument,- as an example.
It doesn´t,- it´s not modelling, it tries to mimik some for the human ear important aspects of a analog wave,- the loudness/amplitude envelope and a (modulated) filter offset frequency and curve (filter envelope).
Early generations of digital synths like the Roland D50 made it already "better", where "better" is about fooling the human ear.
There was the analog synth type synth architecture AND attack portion waves, sampled from real acoustic signals which were important for the human ear to make it believe there´s a real world acoustic event happening.
Bud