Alain Vigneault is entitled to a large measure of credit for the Rangers’ comparative success since manning the bench prior to the 2013-14 season, and the coach has been rewarded for it by virtue of a midseason contract extension through 2019-20 under which he will earn more than a combined $8.25 million over the final two years of the deal.

Fair enough, for the Blueshirts have amassed the sixth-most points in the league over the past four seasons and have won as many playoff series as anyone in the NHL other than the Blackhawks over the past three postseasons. And this group has had two players — Rick Nash in 2014-15 and Henrik Lundqvist last year — receive top-five votes for the Hart Trophy.

But if credit is due to Vigneault for the upper-echelon level of hockey the Rangers have produced under his watch, it is at the same time fair to wonder how much blame, if any, can be assigned to the coach for his team’s six-game playoff losing streak at the Garden, in which it has fallen flat over and over and over again.

At some point, responsibility must be shared between the personnel and the coach for these repeated debacles, through which the Blueshirts have been outscored 21-4, that continued with Sunday’s Game 3, 3-1 stink bomb of a loss to the Canadiens.

Maybe the CEO approach — where Vigneault delegates authority and leaves the room — which has worked so well, not only in New York but in Vancouver, needs adjustment for times like these, when the narrative and weight of negative reinforcement seems to overwhelm the big picture. This opening-round series is only 2-1 approaching Tuesday’s Game 4, after all.

Sunday seemed a self-fulfilling prophecy, somehow sadly predictable even in the aftermath of two committed efforts in Montreal. The Rangers might not have executed anywhere close to the full extent of their ability, but played with as much fortitude and moxie as they had all year.

Maybe that was the time for Vigneault to step out of character and infuse emotion into the room. And if not then, now. This is the time for the coach to do as much soul-searching as his players as they confront their demons in the House of Horrors that is no home.