Your critique is spot-on. The Last StandPart Two. If they did they could bolster Yukio into an actual partner having trained with Logan and picked up new tricks. At this point, things get awesome as we kick off what is unquestionably the best action sequence this movie has to offer, starting with Wolverine jumping his motorcycle through a barn explosion. There's a lot of bullets Not Doing Much in this movie, though.
Yeah, the title of this probably should have been X-Men Anachronism:
The Wolverine: Let’s Look at the Women
I thought the same thing about it being vibranium since it has the same origin story -- if a rock can have an origin story -- but it's never really explained as anything other than the Missing Ingredient for Adamantium. Will Wolverine kill everybody? It's not really clear what the relationship is between James and Victor, or why James's real dad killed his fake dad, or Yeah, it's all over the map. This movie's pretty big on reasons for codenames, but I guess when you have a nonsense phrase like "Deadpool" hanging over your head, you have to figure something out. Yeah, that story paradigm is very common.