The starting post is good and has done an excellent job of figureing out what positions gms find sexy. I think that the reasoning is a little different.
I believe that fans, the media, and many teams get obsessed with measurables/statistics. The focus on statistics is particularly unfortunate since there is no such thing as an individual event of a football field, unlike baseball where every at bat is an individual event. Therefore your stat line is the product of the efforts of the entire team.
We see this particularly well on the defensive line. DEs are paid a lot more money than DTs because DEs get lots of sacks whereas DTs don't get many sacks or tackles.
Corners know that interceptions lead to big paydays more than makeing the correct play and knocking down the ball. This is why so many corners try for interceptions in hail mary situations.
With regards to measurables lets talk about quaterbacks. When drafting QBs you never hear talk about reading defenses because it is too abstract. Instead you hear about arm strength. This is why Ryan Leaf was a 2nd pick and Tom Brady was a 6th rounder.
Or lets talk about a team that doesn't know how to evaluate offensive linemen so they just aloways look for the biggest guy possible.
This can be remidied by watching more game film. By this post I don't tmean that stats/measurables should be completely ignored. A player with better stats/measurables has a higher probability of being good than one without these atributes, but these numbers do not tell as much of the story as game film.