True. Though do you even want the “public face” of a football team to be someone bereft of confidence who is being torn to shreds in the media etc? The one who acts as the “go between” with the manager? Can’t imagine that’s good for the confidence of the squad either.
To put in bluntly, I don’t think having Rooney as England or United captain will be a positive thing in the coming months but I don’t see any way of avoiding it without him stepping down.