It's certainly not that Getzlaf was dragged all over the ice, even in the Chicago series where he actually outscored Toews in their time on the ice together. Though he may have been quieted in the latter games of that series, it's not as if his team wasn't also faltering around him. If you think that a single player that doesn't happen to be the goalie can literally drag a team through a dire situation, then I think you're buying into the media memes a little too much.
Uh, that's impressive given that Getzlaf's entire
line had a GF/60 of 0.00 in the 32.59 even strength minutes he was on the ice with Toews in the 2015 WCF. So not only did Getzlaf not score any 5v5 goals against Toews, he didn't assist on any either.
Toews line had a GF/60 of 3.46 on the ice against Getzlaf, with each of Toews, Kane and Saad getting 1 5v5 goal a piece (plus two 5v6 goals for Toews, but I can't remember if Getzlaf was on the ice protecting the lead for those or not so I won't consider them).
That entire series shifted when Quenneville was able to establish the Toews/Getzlaf matchup that Boudreau was desperately trying to prevent all series, and the damage dealt was quick and decisive.
This all according to puckalytics SuperWOWY tool, dates 17-May-2015 to 30-May-2015.
EDIT: Saad had 2 5v5 goals, my bad, forgot that he scored in game 7 as well.