copper sheds heat quite a lot faster than aluminium. Older Hondas from the 80s had copper radiators. The reason you wont see them today are due to their insane cost.
If you can find a true radiator repair shop which can hand make new end tanks to the exact shape your car takes then they would be great. Otherwise buy a new one.
If your car has auto transmission then original branded radiators have a very good heat exchanger in their tanks, the replacement ones are not that good.