https://www.makeitfrom.com/compare/6061-AlMg1SiCu-3.3214-H20...
For most day-to-day cooking where you're ingredients are in direct contact with the pan over a burner (sautés, searing etc) heat retention can actually be bad (it's difficult to adjust the temperature). For specific tasks, cast iron excels, that's why you don't see a lot of copper deep fryers.
(This is mentioned in the 2 experiments that person runs in their kitchen that you posted)