No, they don't. They actually make things a lot more clear.
Per 60 stats ignore fatigue and minutes - both of which are important context.
But since you think points per 60 stats make things more clear, then you agree with the following:
Mitch Marner is significantly better on the powerplay than Sidney Crosby?
Alex Ovechkin is the 53rd most effective player in the NHL on the powerplay (minimum 280 games played) over the past 10 years?
Ovechkin is the fourth best player on the Capitals powerplay - and this is why the Caps double shift only Ovie on the PP? That's your theory?!?
Nick Backstrom is better than Malkin and Crosby on the PP, and uh, carrying Ovie I suppose?
NHL coaches would prefer to have Eric Haula on their powerplay over Alex Ovechkin?
NHL.com Stats
Malkin has a higher on-ice GF/60 than Ovechkin on the PP both with his primary PP linemate, and away from him. I don't really see any evidence that Ovechkin is better on the PP than Malkin, and then we have to get into the even more massive gap between them at ES.
And who is that? Crosby? I really don't know because you aren't posting any links or citing any sources.
So Malkin has a better GF/60 playing on the Pens PP1 with Crosby than Ovie does playing on the PP1 with Backstrom? And Malkin has a better GF/60 playing with the Pens PP1 without Crosby than Ovie does without Backstrom - which means he's playing with the Caps PP2?
I don't know how to square your assertions with the link I posted above. Nick Backstrom has a higher P/60 on the PP than Malkin or Crosby, and nearly 100% of Backstrom's powerplay minutes are with Ovie.
This sounds like a lot of unsubstantiated speculation, that's not supported by his on-ice GF/60.
Nick Backstrom's GF/60 on the powerplay is higher than Malkin or Crosby's:
NHL.com Stats
Nick Backstrom's secondary assists per 60 (3.16) is the highest in the NHL by a huge margin over anyone else who played the PP remotely as much as him in that time frame:
NHL.com Stats
The way the Capitals PP works is, Kuznetsov enters the zone with the puck (previously Johansson), passes to Backstrom. Backstrom passes to the right side point (Mike Green, now John Carlson), and they pass to Ovie for the one-timer. So Backstrom makes an uncontested pass to the blue line. Ovechkin scores the goal on the one-timer.
You think the player making the uncontested perimeter pass is superior to the player blasting the unscreened one-timer past the goalie when everyone and their dog knows it's coming. Like I said, that's a nutty conclusion.