Yeah...I am with you on this one...it really seems like things are not thought through sometimes but they would have to be for a reason. Have not looked at in a while but is the CRIT for scholar on "other" gear pieces maybe. Scholar is my 2nd job so I am more focused on Bard gear right now.
I know that the Bard ESO weapon is not ideal either so eh....whatever I guess...bought it anyway because no way I am beating A4S any time soon, have not even attempted A1S.