I'm inclined to agree, actually, with most of this. [ Not all of it, but most! ] It would make sense, given what Hajime said about Faize being friends with Bill - it would make it a lot easier to lure him out to a place that Faize himself wouldn't usually go to on his own.

And dropping the head with an injured hand would also make the most sense, too.

[ But then again, she's not biased one way or another, so. . . ]