The should search for Justin Bieber and add in the Bieber search results some really horrible link.
MS should have a lot of relevant info for Justin Bieber, so the Google data should be rated lowly. If this non-sensical result makes the first page then you can begin to assume that their weighing it heavily. But when your query is "erftqnvpwedf" -- that just means that the only relevant info is coming from the toolbar. Bing would show that result even if the toolbar only accounted for 1/(2^50) of the total relevance.
I suspect Google did this test and has nothing to report.
This is the very thing that Google is saying that Bing is stealing with their clickstream data, and it's also the one that you're agreeing would occur - "that the only relevant info is coming from the toolbar" for highly unlikely queries.
So it seems to me, looking at your argument, that you actually agree with Google's point.
Google is trying to argue a huge PR point by saying, "Bing copies" with the ramification being that when you search on Bing you're really searching on Google. If Google said this, "For extremely rare searches where Bing has few, if any, good signals, clickthroughs from Google will be weighed in such a way that these results may make the first page".
I'd buy that 100%. The Bing team may even buy it. Google seems to want to start with that thesis, but then try to shove the whole camel in too.
This is pretty straightforward and I'd be surprised if Google didn't have the infrastructure in pface to do this today (like literally today).
Also do things like 'radix-2 fft', something where there is a lot of additional signals (I suspect), yet something that other toolbar members probably aren't searching for. So the toolbar data MS gets is strongly skewed to your results.
Maybe because it's a good result? Possibly Bing arrived at it the same way Google did? Or has Google been slipping paper streets into their queries for longer than they're telling us?
In short: how did they know that it was "URLs from Google search results" that they were seeing in the Bing results?
If it was a popular query, and both google and bing made the same "mistake", doesn't that seem a tad suspicious to you?
For example, lots of SEO and normal research studies the top Google results, or keywords revealed from referrer info and other logs, and then mimics those results elsewhere on the web, including outlinking to top results found via Google.
So anything prominent in Google's results will be echoed elsewhere in crawlable form, and probably associated with the same terms by which it was found at Google. Then those once-unique results will 'later appear' in other resources.
You can't be the dominating giant of the industry – the "single point labeled G connected to 10 billion destination pages" (as Blekko's Skrenta calls Google) – and not have this leakage happen. It goes with the territory.
Well...
Now it's possible that Bing really did have no data for these 'popular queries' but I don't think that's an argument anyone would like to make. The alternative interpretation is that top-ranked pages in Google get added prominently to Bing after some interaction involving the toolbar, even when there are lots of other possible matches.You can still say that this would represent just a single data-point among many but unless you think Google is lying, you can't say that it only happens with rare searches.
BTW: I'm not arguing that there is direct evidence that the mentioned effect on popular queries is related to the toolbar. But the effect is there.