If you are choosing NOT to provide any and all information that Amex requires to keep the card open, you might as well just cut it up and apply for another card of your liking.
T&C's, I Am sure states that you will comply with all of their requests for information and updates as requested by them.
If that is a challenge for you, then give it back and not worry about providing that info...
Good luck with any decision you choose to make about this.