Don't forget the change in producer which differentiates the 1982 and 1983 versions, and which is fairly fundamental to the sound.
Musicians: am I right in saying that the 1982 has no proper 'bass' to speak of?
Yeah, although it's the same multi-recording - what Zeus "B" Held appears to have mostly done is dubbed on a "rollicking" new Simmonds-tastic drum track, sequenced bass and arpeggiator squirrelism.
And yeah, the 1982 original doesn't really have a dedicated bass instrument - for most of the track, John's just making use of the fact that his clumpy-bumpy drum-machine-loop has bucketloads of bottom end (Prince's "Kiss" did a similar thing a year or two later) plus he has a acoustic rhythm guitar chugging away behind everything - and then later on, of course, there's the cello-style melodic riff which goes down pretty bassy too ... so all in all I think it's a sensible production decision on John's part not to have some extra boring bland bass synth puttering along under all that. It would only clutter things.