This sounds like a good idea. I wish people would do randomized controlled trials on this sort of thing, but there are only a handful of companies that hire enough people to do RCTs, and I doubt any of them (except perhaps Google) would be willing to do something that isn't "best" to get more data even though, as things are now, no one can really know what's best.
There are a series of behavioral economics studies that show, in the right circumstances, that going with your gut is better than explicitly making a list of factors, assigning weights to them, and making a decision after that (whether that decision is algorithmically determined by the list, or is a holistic decision that comes after looking at the list). The ‘gut’ method tends to be better when decisions are more complicated, and have many factors, as is the case when hiring, so I suspect that pie method is one of those things that sounds helpful but isn’t. No one knows, though (unless there’s actually been a study on this; if there has, please, correct me if I’m wrong).
There are a series of behavioral economics studies that show, in the right circumstances, that going with your gut is better than explicitly making a list of factors, assigning weights to them, and making a decision after that (whether that decision is algorithmically determined by the list, or is a holistic decision that comes after looking at the list). The ‘gut’ method tends to be better when decisions are more complicated, and have many factors, as is the case when hiring, so I suspect that pie method is one of those things that sounds helpful but isn’t. No one knows, though (unless there’s actually been a study on this; if there has, please, correct me if I’m wrong).