The shielding ability of a shield depends on the thickness of the metal and its conductivity. The conductivity of copper is a lot better (about half again more) than the conductivity of the same volume of aluminum, and the copper tape is generally orders of magnitude thicker than even the heaviest aluminum foil. Whether the improved shielding matters or not in your particular environment is a different question, of course, but if it doesn't matter, then chances are neither does the presence of the aluminum foil in the first place.
Besides, we're talking about under ten bucks for enough copper tape to shield a half dozen guitars here.... Unless you are manufacturing or reworking the things in large quantities, why cut corners on a couple bucks worth of shielding for a multi-hundred- or multi-thousand-dollar guitar? That just doesn't make sense to me.