I will be headed back to Amman later this month and I will post my thoughts on the Sheraton. I stayed last time at the Intercon and while the hotel itself was fine, I do have two notes to make:
1. There seemed to be a wedding reception scheduled every night in the courtyard. The music could be heard from my room.
2. The attached Mexican restaurant was the suspected source of some bad food leading to stomach illness.
Other than that, the Intercon was great. But I'm really looking forward to trying the Sheraton...