Was at the Omni last time there, decent hotel with large rooms. Unfortunately as with most hotels there catering to Western businessmen you can't assume that your phone calls are private. An associate of mine who is responsible for a lot of the local phone systems insists that the management (not the government surprisingly) routinely listens in to try and get whatever juicy tips they can.
I can attest that my luggage was rifled through after I had checked into the room. Nothing was missing but things were definately in the wrong places.
On the upside, some of the Australian satellite TV is pretty funny.