Not sure where/why it should save you fuel ..... 
A/C is an extra load on the engine, but as it's a big lazy engine anyway, I'm sure it's hardly going to know that the a/c compressor is clutched in. The extra cost of running the a/c is negligible to over all running costs. NOT running the a/c will tnd to dry out seals on the compressor, so any costs saved will be spent on AN Other compressor. 
And opening a window/roof will alter the drag effect of the car enough that it'll use at least as much fuel as if you were running the a/c
Sounds about right. 
Mythbusters tested this very thing... AC on/windows closed is the future...

But, at risk of repeating myself...
Please read the manualWindows open, fan on to expel hot air from car, then windows closed and AC on to control temp... in case of Omega, temp to LO/16/17/18 etc to suit...
In winter AC on and temp to comfortable means nice toasty car and clear windows.
Basically leave aircon on... the engine ecu will turn it off/on as engine load dictates... far more efficient than manually switching it
