Generally speaking, an induction kit by itself will give the engine a nice throaty roar but will have little effect on power or torque.
On some cars you may find that low-end engine response is slightly improved, but I doubt if this will be the case on the Omega.
One thing to notice is that with most Omega induction kits you loose the low bumper-level air scoop, resulting in (a) hotter under-bonnet air entering the intake manifold, which is not necessarily a good thing because cooler air has more oxygen per volume, and (b) at high speed the scoop actually manages to get more air into the intake manifold than the open filter under the bonnet... from this point of view the K&N OEM-replacement filter may be a better bet than an all-out induction kit.
On a general note again, an induction upgrade will work much better as part of a complete engine 'breathing' solution removing all other restrictions in the way, i.e. free-flow tubular exhaust manifolds, big-bore rear box, and ideally also larger valves with polished heads and polished intake manifold.
Oh, and you will need to let your insurer know that the car has been modified...