Typically the credit card issuer (bank) subsidizes the cost of the membership. That is why membership in a UC, SC, or AC is more expensive through direct payment than through the relevant CC's annual fee.
The question is whether BOA would be willing to subsidize the annual fee of $450 and thus provide its card for $350-400. The question then becomes whether there is a market for the card at that price and finally whether there is capacity.
So, the better question for this board is, "would you pay $400 for the card if it included access?"