Besides the eye test and the responsibilities associated with being a #1C, he has gotten Selke recognition, is the much better ES scorer for their careers ).82 ES PPG vs. 0.69 , and has a significantly higher plus/minus.
I'm not really seeing three of these four points. (I'll leave aside "the eye test", as I have a feeling you're not exactly objective.)
First, while being a center is indeed a position of responsibility, I don't think we can
fault Ovechkin for being a winger. That's just silly.
Second, "Selke recognition". Really? I personally don't value the Selke at all (as I don't understand what it means, and I don't think voters do either), and the voting record I see shows Crosby finished as high as 7th once in his career, which means the
highest he ever finished was with 4.7% of the vote. It's completely negligible.
Third, the ES scoring. I guess if you consider 0.1 PPG as "much better", then Crosby is indeed the higher scorer on a per game basis. And Crosby is certainly the better playmaker and probably a better passer. My issue, however, with favoring Crosby strongly for 0.1 PPG is the number of games he's missed. It's just a lot. Crosby was doing remarkably well in the short seasons of 2010-11 and 2012-13, but it's just as likely that if he'd finished 2011 and played the full season in 2013, his rapid pace would have dropped (as he has never had a full season at that pace). If that had happened, his ES PPG might still be
marginally higher than Ovechkin, but now we'd be into the 0.05-or-something range which is virtually meaningless.
And finally, the plus/minus. Yes, there is an argument for Crosby here. Since they each entered the League, Cros is at about +179 (in about 140 fewer games) and Ovie at about +101. (I'm tempted to suggest the difference-maker is simply Ovechkin's outlier 2013-14 season, when he inexplicably went -35... but I guess he has to own that!) It's a difference for sure, but is it really significant, given the vagaries of plus/minus? With high-scoring forwards, I personally tend to ignore plus/minus and look instead at actual goals-for and against when the player is on the ice. In this, Ovie is +792 and Crosby +727, which is to say about exactly even.
So, out of your four arguments, I can get behind the plus/minus one in Crosby's favor -- i.e., his results have been somewhat better at even-strength. That is notable, but it's not like Ovechkin is a slouch (he's still in the top-20 plus/minus players since he entered the League, and is 4th-best of PPG players in that span). But as mentioned, with offensive players, I personally only care about overall goal-differential (though this, too, obviously requires some context), and in this category, they're even (in fact, Ovechkin is better overall, but in 140-odd more games).
I think, if forced to distinguish the two players, I
might argue that at their respective peaks Crosby is a slightly better player. My reasoning would be that he has proven capable of leading the League in goals
and in assists, separately, which Ovechkin hasn't (though it's easy to forget that Ovechkin has been top-10 in assists three times). One could, of course, turn that around and say that Ovechkin has been far and away the best goal-scorer since he's been in the League, whereas Crosby has never really been far and away the best at anything (I wouldn't make that argument, but some might).
So, anyway, you can split a hair between them in my opinion. But I can't see any reason for your opinion that Crosby is "clearly" a more complete player.