I would hope that if there were a public web application, it would take 20-100 different statistics, and allow people to choose which to privilege. Not sure if it's the reader's or the website's responsibility to choose worthwhile stats to focus on, especially if they became standardized and other agencies were able to focus on what they wanted.

For example, I imagine that foundations could have different combination metrics, like "we found academics with over 15 papers with collectively 100 citations, which must average at least an 60% on a publicity scale and have a cost-to-influence index of over 45". These criterion could be highly focussed on the needs and specialties of the foundation.