I also have a Harmony 650. I have chosen xbox 360 in the Logitech MyHarmony tool and xbox 360 in the MyOSMC -> Remotes menu of the OSMC GUI. (The OSMC Vero information in the Logitech database worked but I was not satisfied by reaction when buttons are pressed.)
It should work with the April and June update … but NOT if you would have a development release before June; I’m sure the box wasn’t shipped like that and you automatically got the June update while first use.