There are good posters on here who are proponents of this theory, and while I do think it has some merit (any quarterback who tends to stare down his targets and take an extra split second to make a decision is going to be vulnerable against zone coverage), I think it's been somewhat overdone.
The Dolphins' struggles against umbrella coverage as a team last year were, I think, more a part of strategic fallacies and offensive weaknesses that were exploited. The Dolphins intended to run a power running offense that faced mostly single high coverage in the passing game. The route concepts were designed to face these coverages primarily on third and short to medium as a means of extending drives so we could run the ball more. This whole thing has been talked about to death, but to state it once again, to me the failure of the Dolphins running game against the seven man box was the doom of their passing game.
The passing game wasn't structured to go against that soft a defense, it wasn't structured to carry the team. So they struggled. Henning mostly stayed away from the middle of the field -- a prime weakness in cover 2 shell -- and we failed to invest in a seam busting tight end who could exploit it more effectively. We didn't run enough of the classic cover 2 beater patterns -- the post corners, the double verticals. The goal and strategy never changed to fit the reality of our substandard interior run blocking offensive line. Without an ability to run on first and second down, the offense was not suited to convert third and long. So we didn't. Which is not to say Henne always did his best in these adverse circumstances, because he didn't. But when you look at those games in which we faced more single high looks despite our inability to produce against cover 2 and the Tampa 2 -- like the Oakland game or the first Jets game -- you see what the passing game could have been with a more effective running game forcing those looks from every team.
Wait. Cover 2 has nothing to do with zone coverage; it's a safety alignment. Umbrella is 4-deep, and can have man (which is usually overkill, prevent defense) or zone defense underneath.
The thesis that we struggled against umbrella because we were designed to beat single high (or even zero) coverage is interesting, but I don't see the evidence. We had plenty of short routes, curls, comebacks, slants, and (as everyone here knows) dumpoffs, to say that we were depending on fly or post patterns. Also, it's somewhat counterintuitive. If you're built as a power running team, why would you get 3- or 4-deep looks?
The thesis that we struggled because we couldn't run effectively is, I assume, built to support the deep coverages. Except... the whole "substandard interior run blocking" doesn't hold. See here. We were ranked #1 in power situations (3rd-4th down and goal situations, 1-2 yards to go), 7th least stuffed team, but rock bottom in 2nd level yards (5-10 after the LOS). Overall, the Dolphins are ranked 15th in Adjusted Line Yards, well within the "3 yards and a cloud of dust" philosophy.