Tin foil and aluminum foil do have generally different properties. For instance, tin foil can disrupt mind control and aluminum foil can't, and corrosion effects are likely at least different. But any thin metal foil isn't going to be able to hold much heat, because there's just not that much material.
"The thermal conductivity of aluminum is 237 W/mK, and that of tin is only 66.6 W/mK, so the thermal conductivity of aluminum foil is much better than that of tin foil. Due to its high thermal conductivity, aluminum foil is often used in cooking, for example, to wrap food to promote even heating and grilling, and to make heat sinks to facilitate rapid heat conduction and cooling."
Well, I guess Germans are in for a nasty surprise since they call that garment an "Aluhut" in the respective circles where such things are required for street cred ...
Not at all. Just doing my part to point out, whenever it's topical, that tin foil hats work and aluminum foil hats don't. There's a reason they want you to call aluminum foil by the wrong name.
Mind control waves are pure magnetic fields as opposed to traditional EM waves. So although aluminum can act as a Faraday cage, its not a magnetic shield and hence not capable of stopping mind control.