1.) 1 and 2 are the same point, in a way; I'm not debating. I'm not making a point. I'm not proving a point. I'm explaining why I have my belief, and used a clip as an example. I don't care if the clip doesn't cover all cases; it's just an example, it doesn't need to. If you disagree, that's perfectly fine. If you want to convince me I should think differently, that's not going to happen, and I'm perfectly happy to tell you why.
B.) I don't see Batman breaking in to stop the plunger from being pushed in a state-sanctioned execution. I do see Bruce Wayne fighting against the death penalty in Gotham City with his considerable resources. I should also point out that I like when Gotham City, from all appearances, does not seem to have the death penalty (for any depictions where it does, see my opinion in depictions of Batman being OK with killing in some circumstances).