as an instructor I try to teach closer rather then wide circuits as the student then gets more landings in their time period
Rather than teach "closer rather than wider" circuit width, perhaps you should teach a normal circuit width depending on aircraft type. Depending on load and wind, this may well involve a climbing turn on to the downwind leg. For example the manufacturer's original flight crew training manual for Boeing 737 series recommends typically one mile to one and a half mile width downwind leg. Recently that was changed to two miles to standardise with all Boeing models including wide-bodies..
Light training aircraft need to be only half a mile wide at the most.