From 1999-2008, there were 118 Elite 11 QBs.
-34.75% (41) were drafted....I don't have the stats for non-E11 QBs but given the large amount of QBs every year in the Rivals database, this number is much higher than non-Elite 11 QBs
-An average of 11.8 QBs were named to the Elite 11 list
-An average of 4.1 QBs were drafted each Elite 11 year
-On average, from 2004-2014, 12.8 QBs were taken in the NFL Draft
So while there may be more non-Elite 11 QBs drafted every year, the small sample size of Elite 11 QBs means that you can infer that a QB being named to the Elite 11 list are much more likely to be drafted which also means that you can infer that a team who lands a Elite 11 QB is more likely to have success than a team who does not.
Point: It is a good thing to land a Elite 11 QB than to not, regardless of our past with them, which happens to coincide with the time we've been awful and have had two awful staffs that didn't develop players