Why is copper core cookware so expensive when copper is <$6/pound?

Why is copper core cookware so expensive, really? I've been searching for an answer, but every post I've been able to find just cites the material costs as the primary reason, which just doesn't make sense to me.

It's true copper is significantly more expensive ($5.50/lb) than steel ($0.40/lb) or aluminum ($1.30/lb), but it's still only $5.50/lb! It's not gold! A 3 lb pan of solid copper should only be about $16.50 in material costs, which doesn't seem like nearly enough to account for the difference in cost I'm seeing in the copper core pans I've been able to find.

For a concrete example, Misen's 12" 3-ply aluminum core frying pan is $97, whereas FALK's 12" 3-ply Copper Coeur Frying Pan is $349. Similarly, All-Clad's D5 12" 5-ply aluminum core frying pan is $200 while their 12" 5-ply Copper Core frying pan is $291.00. That's a lot more than a $16 difference. What am I missing? Is there something that makes the manufacturing process for copper an order of magnitude harder? Where are the high-quality $120 copper core frying pans?

I like the idea of getting a pan with a copper core due to its superior head conductivity (almost double aluminum's 235.0 W/(m K) at 400.0 W/(m K)) but all the options I've found just seem so much more expensive than I would have expected...