@Brian
The flow characteristics are similar at a gross level - separation of the boundary layer and loss of lift - but the mechanism may be different - the boundary layer separation is likely to be triggered by shocks, not by the normal mechanism of an adverse pressure gradient.
The point I was trying to make, not very effectively it seems, in my earlier post is that a shock wave is accompanied by a very sharp increase in static pressure ahead/behind it. It is simply an extreme example of the 'normal mechanism' of an adverse pressure gradient.