Worth mentioning that the Omega's autobox is improved by a gearbox ECU update if you're not running the latest.
You have to consider that a driver's choice of gear is based on a number of factors. Some of these are "visible" to the auto gearbox ECU (engine speed and load, vehicle speed and load, throttle and brake pedal state), and can therefore be used to influence the ECUs choice of gear, and some aren't (road conditions and layout ahead, likely level of traction available, gradient, level of driver "red mist") so an autobox will be a compromise.
In addition, an automatic gearbox is a totally different animal to a manual box because the gearbox ratios are fewer in number, their relationship is less ideal and they are therefore supplemented by a torque converter to "fill in the gaps". This is why a well driven manual car will generally outdrag a similar auto off the lights.
Ultimately a manual gearbox will always be best from a driving point of view, and trying to control an automatic box manually is the worst of both worlds IMHO.
Better, IMHO, to get to know how your autobox shifts and drive accordingly. If you know it's about to shift up a gear and you don't want it to just give it a little more gas. If you want to avoid it downshifting under load, ease off the gas a little.
There are a few occasions when an auto box needs manual control because it can't select the correct gear (e.g. negotiating a mountain pass).
In all other cases I leave it in "D" and enjoy the one great advantage of an auto box, and the reason I have one in my daily driver - they are much less tedious to drive in traffic.
Kevin