If an excellent candidate doesn't get an offer, it's probable that something went wrong in the interview process. And if there are only three examples of rejections, there's not enough data to talk about unexpected correlations.
> If an excellent candidate doesn't get an offer, it's probable that something went wrong in the interview process
Google sees about half of their employees come from at least a second interview attempt, implying that qualified people fail at least 1/2 the time. Maybe you're claiming that their process is terrible? Or that most companies are significantly better at hiring than them? As the only data point I can find, though, it seems pretty damning.
> And if there are only three examples of rejections
It's unclear to me why only rejections count. 7 for 7 is a lot more concerning than 3 for 3.
FTR, out of the 6 interview processes I've gone through I can think of 2 that don't correlate in this way (one in each direction). So I think I have some basis for suspicion.