Cast iron > all. Aldi do a range of cast iron pans that are good and cheap.
Cast iron is ok for some stuff, low thermal conductivity hence the thickness, but it has great heat retention properties but the conductivity is about 0.80 Wcmk whereas copper is copper is more like 4. Cast iron also has slow heat responsiveness being that diffusivity on iron is about 0.25 and for copper it's more like 1.15. The reactivity of copper though makes it impractical for anything acidic though which is why it's clad in stainless steel or tin (hence you get your expensive tri ply pans).
I use a combination of pans, I've got some simple stainless, a full copper butter warmer (best control), a cast iron griddle/ baking stone/ skillet/ casserole dish, and then a number of tri ply (ss/copper/ss) saucepans, saute pans, a rondeau, stock pot and such.
Cast iron is certainly a useful material, but to say cast iron > all is just nonsense.
In answer to your question OP, it's not the best combination no, aluminium isn't terrible but it isn't fantastic for heat conductivity, compare about 2.4wcmk to coppers 4wcmk. And aluminum is less dense, so to get near the properties of copper it would need to be much thicker and then lose out all heat reactivity - more than likely it'll be a standard thickness and the exterior copper will have no bearing. Almost all mid range pans in the kitchen are ally core so these pans will pretty much bring no advantage over a standard stainless pan.