Did you expect a callback from the head of AA Customer Relations? I am not clear why that was mentioned.
If the issue was mechanical, you are entitled to and receive compensation.
If you had to spend an extra day in a hotel, then you can always sue for that charge. AA is going to normally balk at the price of a high priced hotel.
Given the recent weather issues in the area, your options are to accept the coach seat on the next day's flight or wait, at your expense until there is a first class seat, or cancel and get a full refund of your fare.
AA doesn't have the bandwidth to call everyone affected by IRROPS and discuss all of the options, so they automatically book for the next day available, without determine whether or not a person wants to spend a night at an city at a connection point. Of course, it is also possible they had no seats available for flights that connection point, and switched you to where there was space. It is important to set up notification and/or check you flight to make sure there have not been changes. The faster you are notified of a change, the faster you can make the changes that are more in line with what you want.