I think that it's fair that people are coming down on Goodell because this is another example of a way that he has mishandled a major issue. CTEs, concussions, quality-of-life for players after they retire, and insuring that kids continue to play the game are all major issues tied up together. Goodell had a number of options, including making harsher penalties for not strapping their helmets on properly for players (must sit out the rest of the drive, maybe) or leaning on the NFLPA that he dominates all the time to make safer helmet tech mandatory.
Instead, he makes the hitbox where defensive players are able to contact receivers very small and then asks the referees to take on the impossible task of calling every headshot they think they see in an incredibly fast game where people get hit hard and have their heads snap back fairly regularly...all the while continuing to glorify the hitting aspect of the game (just watch a recent NFL Films production on pretty much anything). This, out of all options available, was one of the worst. It just slows down the game, changes the tide of games with phantom flags, and still doesn't do much to keep bonehead players from not fully protecting themselves by, say, strapping in their helmet because they think it looks cooler with one strap hanging down.
The way that he has dealt with marijuana use, I actually am not that down on him for. Marijuana has a stigma that still isn't going away in most corporate arenas regardless of its legality both medicinally and recreationally in a number of states. Expecting Goodell to be out in front on that wave is unreasonable; Goodell is not the pioneering type.
However, the WE LOVE WOMEN! BREAST CANCER MONTH! WE WEAR PINK! BUY OUR TINY JERSEYS FOR WOMEN AFTER YOU SEE THIS COMMERCIAL WITH MOMS WHO LOVE FOOTBALL ON IT! pandering to women can probably accurately be called "pandering" in the first place when you consider how Goodell botched the Ray Rice thing by not giving Rice a harsher punishment in the first place. If he didn't see the tape, he should have at least made it clear why he didn't (not legally allowed, etc.). If he did, he seems like a pretty heartless dude.
Should it matter that there was a tape? No. Greg Hardy should be out of the league if he really did throw a woman onto a pile of guns and punch her or whatever. But just because it SHOULDN'T matter doesn't mean it DOESN'T. We know that in order not to sit around, catatonic from all the horribleness in the world, we block out stuff, and that pretty much includes stuff we don't see. When we actually see it, like we saw Rice dragging his then-fiancee out of an elevator while she was unconscious, then it becomes "real" to us. Just him dragging her should have been enough for Goodell to guess how bad it looked inside the elevator and do more than suspend Rice for two games. Is Goodell cold-hearted or just an idiot? I guess there could be a third option here, though I'm not sure what it is.
Essentially, Goodell never really seems to make the right choice. If he can't navigate making $$$ for the owners while at the same time protecting the Shield from the threat of football dying due to parents not letting their kids play, the threat of being seen as insensitive to women, etc., he's not the right man for the job.