Bruce.
Best thing to do is start at the source of actautor power for the Omega setup....and in the case of the Omega, this is engine vaccum.
So, look in the engine bay, at the rear left you will see the large brake servo vaccum pipe, this has a number of small black plastic vac feeds (3 on later V6 units, 2 on early ones) which carry out various functions. One of these pipes travels across the rear of teh engine bay and attaches to a black vac reservios which is mounted in the scuttle at the rear right (at the rear righ you will see a flap in the plastic that covers the pollen filter, remove the rubber seal a bit and ligt it up...). A further pipe then travels back across the rear of the engine to the bulk head at the back left of the engine bay. Here you will see the two heater matrix pipes, where they pass through the bulk head should be two of these small pipes, the one from the vac tank above the pollen filter should pass through this area to the left of teh pipes adn a further pipe shoudl return to teh right of these pipes adn connect to the top of the heater bypas valve.
Check all these pipes are attached and have no damage.
Theres absolutely no point in buggering about with vac pipes behind the dash until you can confirm that the ones in the engine bay are all good.....coz these are the ones that are most likely to get distrubed and damaged.
I say this because you say the heater matrix pipes are not both hot which sudgests the heater bypass valve is not allowing flow through the matrix at all.
I hear whats being said about the blend motors but, there are two seperate ones, one for passenger and one for driver and I doubt both would fail at the same time