I think the general issue with QB "grading" by fans, other than watching them first hand, is the criteria they judge by. The pundits have the same issues. The pundits typically put
Significant of weight on:
# Yards, Touchdowns. These records are the ones most hyped and most often how a QB is graded.
Moderate weight on:
# Completion %, 3rd down %, INTs, Passer Rating, "Being a coach on the field," "leadership," Big Arm
Light weight on:
# Consistency (2TDs/week or boom or bust 4TD week 1, 0TD week 2), Sacks, avoiding the killer mistake, yards per attempt
Nominal weight on:
# Converting dead/negative plays to positive plays, fumbles, situational football (e.g. a QB with a lot of yards because his team plays catch up; a QB on an average team who is asked to make high risk/reward plays to remain competitive), nuances (e.g. putting the ball on the right shoulder, hitting receivers in stride, only where their receiver can get it, etc.)
I think there are good arguments to reshuffle the weighting. Every situation/offense/roster is different but "bad plays" would always be at the top, even for a volume QB. And "rate" doesn't fully offset negative plays. e.g. If a QB1 throws 25 times w/ 1 INT and QB2 throws 50 times w/ 2 INT I think the 2 turnovers in general are worse even though the rate is the same as it is a possession issue. QB2 gave the other team 1 extra drive. That is one less drive for QB2s team, one extra for the other team, and an INT could be a game changer (e.g. lost score, score going the other way). Field position and possessions are hidden stats.
It takes a LOT of positive plays For every INT, Fumbles, QB-caused Sack, bad call (missed audible, unnecessary time out), etc.
I always would weight QBs who turn dead plays into positive plays pretty high. This is where running can be an advantage if a) the QB does things not to get hurt and b) the scramble is a pass first approach and not empty "running QB yards." The ability to take a defenses best punch and break their back by converting the defensive win into an offensive win is very valuable in the flow of a game. This is what "3rd down %" tries to track but it is only a subsample of what I am counting.
I would also weight a QB who is consistent--I want the QB who can be counted on weekly to throw 2TDs and 0.5INTs and who regularly makes the right call, read, and reaction. Another "stat" which is a fraction of a sample of a bigger issue is "comebacks." This attempts to measure how a QB when the team needs him to lead the offense to a score more often than not navigates the field, avoids a mistake, and gets the necessary result (FG, TD) to take the lead. If QB1 often has 3TDs and 1.5INTs and QB2 has 2TDs and 1INT average, but QB1 often has INTs on comeback attempts and QB2 is good about not making mistakes in such situations that is an invaluable trait.
This is why I think people have a hard time with Wilson. He isn't in a volume passing offense. Their receivers are below average receivers but good blockers. Their offensive line is drafted and focused on run blocking with pass blocking as secondary. But Wilson operates well within these parameters. He is pressured all the time but avoids a lot of sacks. His receivers aren't often open but like Big Ben moves and gets new angles or time to make a play. He can exploit over-shifting of defenses to stop the run game. He doesn't turn the ball over often. In comeback scenarios he frequently is able to score and avoid costly mistakes (INTs, calling unnecessary time outs). He knows when to throw the ball away and will make a play to escape the pocket to throw the ball away. Carroll would be thrilled if Wilson did the intangibles above and had 2TD, 0 INT, 200 yards, 17/25, 40 yards rushing, and less than 2 sacks every game. Doing this in a run-first offense puts a lot of pressure on the other team.
He is being asked to play differently than Manning, Brees, Rodgers, Ben, Rodgers, Brady, Luck, etc. And while those are all great QBs I think most of the GMs drank the Kool-Aid. They think championships come by focusing on these talented players. I think BB in New England had it right. While the Greatest Show on Turf was fun to watch a good defense, solid special teams, and a conservative offense where the QB is asked to make plays when required (instead of being the focus of the offense) is best. I think Brady and Manning would be better on run-heavy teams and got to pick their spots. The volume passing approach is fun to watch but I think it is VERY hard to consistently be great, week in and week out, at passing in volume, especially in the winter.