I had an AI-S 20/2.8 and AI 20/3.5 at the same time many years ago. In a brief head-to-head comparison, I found the 20/3.5 needed to be closed down about one stop compared to the 20/2.8 to match the sharpness. However I preferred the 20/3.5 due to the smaller size and standard 52mm filter size - the 62mm filter of the 20/2.8 didn't match any other lens so wasn't a good fit in my kit.
On a side note, I was looking at some shots I took with my 24/2.8 (AI converted K lens which uses the older 9/7 optical design). Pictures taken with my D600, fast shutter speed and lowish ISO are not really crisp, even at f/11. There are no noticeable side-to-side differences which might indicate mis-alignment. Maybe this lens is just not good enough for 24MP images, which is disappointing.