I had this happen to me three years back. I didn't delete my 401vegas account from the website. I freaked out because a maker was coming in and the two would conflict. Whats worse? Pissed off Casino or a pissed off AMEX.
I called, they said the same thing to me - don't worry and I will note your account now if it does bounce. I did not get punished, did not get 3 attempts, just one bounce for the AMEX. What I did do was immediately pay from the correct account and it was a PIF and it was before the statement closed.
Perhaps my situation being different is why they didn't punish me, but it was my mistake not theirs.
Additionally I called the cage and told them what I did and in the event of a NSF that I would immediately handle with them.