If you're playing with those specific lines, I think it would be close...
But a smart coach wouldn't load up their top 6 and would instead run a balanced top 9 with a 4th line that barely plays. They'd also split up Karlsson/Weber since they're both huge minute munchers that can and have gone above 30 minutes a game. That means that you'd have a Norris caliber defenseman on the ice for literally the whole game.
I like B's goalie tandem better but it's kind of moot since the backup doesn't really factor into the scenario.
If you really wanted, split up the players though.
Zetterberg - Crosby - Kane
Eriksson - Getzlaf - Brown
Scott - Konopka - Boulton
Burish - Eager - Orr
Karlsson - Weber
Barker - Lebda
Parady - Zanon
Put Crosby / Kane, Zetterberg / Eriksson, and Getzlaf / Brown all on different lines. Play each pairing 20 minutes a night, cycle through the last 6 guys on their lines. Only going to have the others on the ice for 10 minutes a piece, less if you were to double shift some of the stars throughout the game to get them closer to 23-25 minutes since it is only a 7 game series without any more games after it.
Then split up Weber and Karlsson. Play each of them 30 minutes min, doubleshifting them to play with themselves depending on how they are doing energy wise. Cycle the other 4 through playing with them. Each play roughly 15 minutes with a top D, if not less.
And Rinne can just do his thing.
This. Breaking up Team A's lines in the OP, and they easily have more depth than B, no matter how you juggle their lines.
If we were talking one game, I would take team A as they have the game breaking players. Over a 7 game series though, team B for sure. The depth of team B would grind down team A over a long series, while team A would not be able to overcome any of their stars being shut down.