Easy swap
I've done this swap on a couple of different machines, most recently on a Classic III that I acquired last summer. I had a complete H2 bag setup on hand so it was pretty quick and easy. I just had to swap the Classic III bag topper onto the H2 bag so it would connect to the handle without any further modification and is still completely reversible. The gray bag with red lettering looked quite smart on that machine but I later got hold of a Legend II bag, which I like even better.
I'm not sure which of the Heritage/Legend era bags would look best on a Classic Omega. An orange Heritage bag would be quite a statement. Another option, if you have the necessary skills or know someone who does, would be to acquire a second bag and add a zipper.