Adding Ring Doorbell but existing door bell is on wall perpendicular to door

My existing doorbell and transformer wiring are on a house wall perpendicular to the door. Would I be better off buying a battery powered Ring doorbell that I can mount on the door frame looking straight out towards the street? I hate to lose the convenience of being battery free but wonder if the 160 degree field of view would give a good view of someone approaching the front door. Thanks!