Is it acceptable to widen this thread beyond (well-deserved )recognition of masters of accompaniment?

How about sharing your practical tips and philosophy about this?
I believe that there are two main aspects of accompaniment: doin the instrumental 'breaks' between verses; and more importantly, constructing an accompaniment that supports the singer's style, and vocal range.
The accompaniment should be economical-- not necessarily sparse (unless deliberately so)-- and contain phrasing/rhythm that enhances the lead within the beat, the measure, and the phrasing of the piece.