Depends on the score. If Vegas can grab the lead first SJ's not going to be able to afford to run the defense they did in game 6. Having 5 men back in front of the cage makes counter attacking harder which is what I think accounts for the large disparity in shot totals. Seemed to me like San Jose was content to fuel their focus on forcing Vegas to take low percentage shots from the outside, but if they have to chase a lead they can't afford to do that as much. And all the same, if it's a repeat of last game you still need Jones to be lights out and not give up a softie on 35+ SOG.
SJ's strategy worked last night but it's not the safest way to play hockey. The premise of your post only works if San Jose had been dictating play last night which they weren't. They were far more focused on suppressing Vegas' scoring chances and really only got like 3-5 truly high danger chances.
I'm personally more concerned about Vegas again coming out to start the game with caution rather than pushing the issue and San Jose would exploit that with some quick strike offense.
Basically I think if San Jose gets the first goal it will be difficult for Vegas to clutch out the win. Not impossible, but difficult.
It all depends on the situation. Even if it's tied, the Sharks can and should run the defense they did in game six. A lot of their problems in game six stem from poor passing more than anything else. If they're crisper, which tends to be more likely in home games, they're spending significantly less time in the defensive zone. Even if they're losing, that's the defense they have to play against Vegas. Even if it doesn't create opportunities the other way, it's their best way to keep Vegas off the board. Chasing the game only does you good if you can keep the other team off the board and being very aggressive on puck carriers along the perimeter is what opens the middle of the ice for Vegas. Them pinching hard in the attacking zone and the neutral zone is what gives Vegas odd man breaks against the Sharks. They can play a conservative game while behind until the last five minutes or so.
Chances are the Sharks' passing game is not going to be that poor two games in a row so I wouldn't expect Vegas to have the shot totals they did in game 6. And if their passing returns closer to normal while maintaining a more conservative defensive strategy in all three zones, Vegas is going to have a real tough time especially if the Sharks get an early lead. But if Vegas pulls it out, I will have a lot of respect for their resiliency. That goal against in game 6 is a real gut punch and there's a lot of details in the system to adjust to in such a short order. They can absolutely do it but hope they don't obviously. lol