I don't have an Amex BA card, but I have one of their "Blue" cards. A few months after getting this, I decided I would apply for a BA AMex card to get some more miles.
They refused my application, but said they were willing to offer me another "blue" card for a second person on my account.
What is the point of this? If they looked at my credit history, they would see that I have literally NEVER missed a credit card payment and always pay in full, by direct debit every month. Surely they should be trying to attract customers like me, not shun us off?