sunnyVan said:
I threw the question out there because I thought it's been asked before and I thought there would be a ready answer.
Indeed it has already been asked, but then the discussion came to no ending and definitively not to an easy answer.
But I can offer you the following easy theoretical optical experiment:
Be the camera shake along an axis that does not contain the nodal point of the setup or is orthogonal to the optical axis, for the ease of the argument a up-down movement. At the time of the release, the IS element corrects a the extreme on one side, at shutter close on the other extreme. This results in a sharp subject.
Now be there a main subject 1m away from the sensor and a DOF of 10cm (form 0.95m to 1.05m). Be there two other subjects at 0.9m and 1.1m. Be All subjects static. Now it is easy to imagine what happens during the release (with the described shake). The main subject stays in focus (thanks to the IS), but the relative positions of the two other subjects as seen from the sensor change, or simply, a parallax error occurs.
This results in harsh/unruly/nasty/... bokeh. Sadly, I have no example as I dump such occurings as soon as i spot them.
Conclusion:
Yes, an active IS can have a negative effect on bokeh.
Switching IS off renders always the bokeh that is "normal" for the lens.