They are generally recording and mastering stereo music with the expectation that it will be listened to in stereo. I understand that you're not using the same speakers and aren't in the same room, but I disagree that the whole stereo baby can be thrown out with the bathwater under the guise that the audio reproduction setup isn't EXACTLY the same.
But omni is still stereo though! The difference is that you get more indirect sound, compared to the direct sound (at least if you sit a bit away from the speakers), but this indirect sound is then much more similar to the direct sound. With coventional speakers you get somewhat less indirect sound (again, sitting away from the speakers), but you still get lots of indirect sound, and this indirect sound will be very different from the direct sound.
So which one is more correct? I don't think it's obvious, to be honest.
I see this as a matter of degree. It's similar to the debate on wide vs narrow dispersion with conventional box speakers. Which one is better? Both has their use, I think. I see if of different flavors of the same cake.
Fwiw, my own preference is to listen to wide-dispersion speakers (in the future possibly omnis) in the near-field. That way one gets much late indirect sound which is similar to the direct sound, but the direct sound still dominates the perception and creates good stereo images.