Giordano took McDavid out and didn't even get a penalty.
Do people actually think the player who is 137th in the league at drawing penalties gets preferential treatment?
Refs go out of their way to make sure they NEVER give McDavid preferential treatment of any kind. Retired NHL Ref Tim Peel explains why McDavid rarely draws penalties.
Retired referee Tim Peel provides analysis on why Connor McDavid draws so few penalties
www.dailyfaceoff.com
So no. McDavid getting carried off in a stretcher would not result in a 5mins major.
This nonsense is only considered a narrative if you don't watch games and ignore all evidence.