There are some real experts on here and I'll defer to them if they want to pipe in.
From what I have seen and read, the basic concepts here are pretty west coast-ish. Olsen went into great detail on a pass play where Dak had a high low. He was supposed to read the middle coverage and throw based on it. West coast offenses frequently use these principles where they effectively overload one side of the field with a deep, middle and short option. The QB is supposed to read and take the wide open guy.
Last year, KM was drawing up plays that overload certain depths. Like the button hooks play where you had everyone running to a certain depth and turning. If that's a zone, you probably have that level of the zone overloaded. More receivers than defenders and one should be wide open. That said, you have to read the whole field left to right instead of just concentrating on one half.
The Air Coryell system had a lot of WR reads. The QB is supposed to make the same read and throw a timing pattern. Oversimplified: 10 yard route. If the CB is outside, break inside. If the CB is inside, break out. The QB throws right as the WR breaks giving the defender no time to react. Aikman and Irvin used to eat defenses alive with this.
This year, I have read that the receiver reads are mostly out. You run the pattern that you were supposed to run. There are pro's and cons but it seems to have reduced the INT's.
Overall, I would say that Dallas is running a pretty traditional west coast offense. At least conceptually. The only tweaks may be the language and the run game.
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Last note: One of the big changes over the past few weeks is that Dak early on was almost always taking the short route in those high/low options. He is now throwing the long route a LOT. If he sees single coverage or better, he lets it fly. His accuracy has been fantastic so he is "throwing people open" and routinely beating single coverage.