I have found that the optimal effect chain order changes according to content. For example, sometimes stabilization has worked more effectively on a graded scene, especially if it was done to enhance contrast or correct illegal levels. However, more artistic or aggressively graded scenes sometimes confuse the algorithm and therefore it is better to stabilize beforehand. So it’s trial and error.
There’s one concrete rule though: if you’re using noise reduction, always do that prior to stabilisation as it helps the algorithm to concentrate on wanted detail and not on random noise.