Let’s take that thought to its conclusion. If clicks on Google really account for only 1/1000th (or some other trivial fraction) of Microsoft’s relevancy, why not just stop using those clicks and reduce the negative coverage and perception of this? And if Microsoft is unwilling to stop incorporating Google’s clicks in Bing’s rankings, doesn’t that argue that Google’s clicks account for much more than 1/1000th of Bing…
All of the negative perception seems to come from Google deliberately inserting outlier data. For MS to back down on that basis immediately makes them look like they were doing much more than what is proven.