It is true, the aluminum is more than double the conductivity of copper per conductor weight (not cross section, really weight), also way cheaper, but these aspects are not that significant on thinner wires. There the surrounding accessory (the insulation, restriction to the cable assembly materials to prevent corrosion, more care so more expense needed for termination,...) either cost the same or even is more expensive with aluminum, so if the material/weight savings are not substantial, it does not make much sense.
Regardless of the exact composition, aluminum are all more prone to oxidation and creep problems. The improved composition made them less severe, but compare to copper, they are still there. And some of the ways how to address these problems means more expensive terminal designs. Now these problems affect mainly thinner conductors, the thicker the thing is, more resistant it becomes. So for relatively thin home installations they are way too much problem vs how much cost and weight savings it may offer vs copper, or the fixes for the aluminum problem become relatively expensive (big part of the extra termination cost to fix the aluminum problems does not depend on the size/rating of the connection, so for low current ones becomes pretty expensive). But for higher current, thicker conductors have inherently less problems to start with, plus the amount of material in question becomes so much it starts to make sense to invest into the more complex connection solutions.
And this is reflected in the standards - aluminum is allowed only 16mm^2 and above (AWG6 and thicker)
For normal home 16A circuit installation the 2.5mm^2 of copper is used (4mm^2 was used with Al), that in the equivalent 4mm^2 Al, was and in older installations still is causing permanent headaches with connection resistance faults.
Only the main feed and distribution lines, generally significantly thicker than the 16mm^2, are still installed and used with aluminum without any problems. But the important differentiator is the conductor size.
If aluminum have more electrical conductivity than cooper, why most ballast wires are made from cooper and why most electrical cables are made from cooper?
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