Crosby finished the game with a plus-2 rating; McDavid was minus-1.
It's that sixth sense in the 200-foot game that Oilers coach Ken Hitchcock said separates Crosby from everyone else, including McDavid.
"Sid thinks at a level, when the other team has the puck, that's above everyone else in the League," Hitchcock said. "His anticipation when the other team has the puck is so high, he knows where it's going ahead of time. He can pick off passes, make you make errors … And then he also knows where people are located on the ice, so he can turn that turnover into a scoring chance."
It is an aspect of the game that Hitchcock said McDavid continues to learn and embrace.
"Connor has that in him," Hitchcock said. "He sniffs out danger offensively. Sid thinks it defensively -- he has both going. That's where Connor is going to get to."
Hitchcock said he grew to appreciate Crosby's attention to detail during the 2010 Vancouver Olympics when he was an assistant to Canada coach Mike Babcock.
"When we were at practice, there were times when we'd say to ourselves, 'What the [heck] is he doing? Where is he going?' Well, he was practicing designated plays that weren't connected to the drill we were doing," Hitchcock said. "You were wondering why he was doing it, and then you'd see it pop up in a game.
"The second thing was, the bigger the game, the more he was a factor. As the games got bigger, he just got to a higher level that no one else could obtain. To do it once in a while is OK. But to do it every time it's a big game? Pretty special."
Crosby is clearly a big-game player, having won the Stanley Cup three times (2009, 2016-17), the Conn Smythe Trophy as the most valuable player in the Stanley Cup Playoffs twice (2016, 2017) and two Olympic gold medals (2010, 2014). But even McDavid admires Crosby's play at each end of the ice.
"(Specifically) how strong he is down low," McDavid said. "As the low centerman, playing against him, he's so strong on his skates. So stocky. He's tough to knock off the puck, which is a great quality to have.
"I think I'm pretty strong on my skates, but probably not to that level. Ultimately I'll never be as stocky or as wide as him, but it's definitely stuff you can work on."
One thing Crosby knows for sure: one player, even as talented as McDavid, cannot carry a team by himself.
Entering Thursday, the Oilers (24-27-5) are six points out of a playoff spot in the Western Conference.
"It's just a fine line between winning and losing," Crosby said. "That's what it comes down to. I think you're right, it's definitely a team sport.
"You need everyone chipping in."