To my ear omnis sound really "unnatural" if you're not close to the sound source. Maybe they sound too "natural" that they lose their musicality but without proximity effect going on you just end up with this airy kind of thin feeling sound...
I find the spacing for near-spaced omni's to be quite important to the feel and tone of the recording.
When I arrived at my 39" spacing sweet-spot starting point, I did so by listening closely through in-ear monitors while adjusting the spread for the most appealing tonal balance and stereo spread. The distance effects both, but I consider getting the adjustment right for good tonal balance more critical to my ear than getting a good stereo spread. I can dial it in pretty close by listening to the pre-show fill music before the show - because it's at a lower level, the bass bleed in though the phones isn't too bad and I can sometimes make a better adjustment for the low end than when trying to hear once the show is at full volume. It's easier to hear the effect on the top end even at volume since the isolation of the phones is more effective in that range.
It seems to me there is plenty of phase interference going between the two mics in these near-spaced scenarios which can either help or hurt the sound, depending on the spacing and the situation. When the distance is set right the phase interaction provides much of that the sweet airy top along with a nice open and wide low end. I suspect I don't like the baffle (at a distance at least) because it likely reduces much of that positive phase interaction of the high end that I'm listening for.
In any case, I highly recommend adjusting the distance between mics by ear for best results!
...Running the mics at 180 isn't going to do anything for omnis besides distancing the capsules since they have a spherical pickup pattern. If you really wanted to you could point them towards the sun and it wouldn't matter...
I definitely notice some top end directionality of my omnis. It only effects the sizzle and air above 10khz but it detectably rolls off up there off-axis, and my 4060's are less directional than many other omnis if only because of their small diameter. Try putting some 'phones on and listening to the sibilant sound when rubbing you fingers together directly in front of the mic vs. off to the side or around back.
[edit] oh, forget it, I'll make a new post..