No, it is NOT a non- event.
Due to the up trim, a manual go-around on B737 below 350' will require a significant downwards force on the yoke by the PF.
You need to know what you are doing or you WILL stall and burn.
Sure, however anyone who had a halfway competent trainer will know how to deal with that. However, for those too afraid of their job to hand fly every now and then it might be a challenge. But lately it seems that it is too much to expect from a professional pilot that he is able to actually fly. Same as boeing expects every pilot to deal with the sudden onset of rudder force when the rudder servo quits during every single engine auto go-around.