My story’s very similar to yours, but the only diff is there’s no corp cc involved and the lapsed time is 10+ yrs. Long story short, amex sent me a preapproval offer for a new cc about 1 yr ago. I apped and got declined. Reason stated? Past delinquency w/amex. I’ve heard they blacklist for forever- which is why I am kicking myself for not taking them up on the oasis offer @ the time (couldn’t afford to).
I suggest calling amex before you apply. Like I said, I had preapprovals via both mail and on the amex site and still got declined due to mismanaging an amex card 10+ yrs ago. Others have said amex NEVER forgets and I have not seen anyone who has been able to regain an amex card (excluding those who took the oasis offer WHEN it was made) after burning them, even w/ficos in the 700s.