Here is an interesting quote from a Canucks fan on Reddit who goes against the hivemind - I thought he had some interesting points that go against the already conceived notion
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For us at least, it's because our reddit fan base is incredibly stupid. See: all the idiotic "get ready for dump and chase" comments*. (Green had extremely shitty rosters filled with past-their-prime grinders and plugs and no defencemen to speak of who, by necessity, dumped it in on the rare occasion they managed to leave their own zone. The few guys with talent, like Pettersson, Horvat, and a few others with speed/skill, had solid zone entry stats throughout his tenure.)
Green tried to play a very fast, skilled game during his time in Vancouver, but it was reliant on having D who could move their feet and the puck well (which he never had) and forwards who had decent speed and hands (of which he had about 3 max at any one time). Quick/skilled exits + passes through the NZ and high pressure counterattacks, along with aggressive 2 man forechecks were common, but rarely executed well due to a lack of quality personnel. It's frequently reported that Green and Tocchet are good friends and share similar ideas and views on coaching, if that gives Sens fans any comfort.
He was really good with the young guys on the roster who managed to develop well despite all the "mentors" Benning continually chased after. He also showed really good scouting and adjustments to the systems during the bubble playoff run, specifically implementing wholesale changes to the forecheck tailored to the Blues and Vegas which were extremely impactful. Unfortunately his last-ditch attempt to create a defense-first structure during his final season were very unsuccessful, but again, that can largely be chocked up to personnel. The defensive stats ended up being worse under Boudreau and did not improve until Benning was canned and Rutherford and Allvin flipped ~80% of the roster, including 4/6 D and pretty much the entire bottom 6.
Seriously, I really cannot harp enough on how shitty the teams he had under Benning were. He had a top pairing of Stecher-Hutton for a large part of one season due to injuries to Tanev and Edler, and the "Sea of Granlunds" became a meme because of the parade of useless, overpaid, past-their-prime forwards that Benning collected like bobbleheads.
Here is a selection from a previous comment of mine. Keep in mind that many of those names ended up playing top 6/top 4 minutes out of sheer necessity.
Is Green a world-beater? Probably not. But he's definitely a better coach than he's been able to show so far. Even Scotty Bowman would've struggled under the complete and utter ineptitude that was Benning and Weisbrod.
*The "dump and chase" stupidity actually came from an exceptionally dumb user in a
/r/canucks GDT who "counted" the dump-ins for a third period against Montreal (iirc) once, and then presented their "stats" in a standalone post later. Hence the braindead circlejerk was formed.