Mics in the center picking up everyone in a circle around them is unlike most taping scenarios where the source is towards the front. Keep in mind that both Blumlien and omnis will pick up the same amount of crowd noise (if there is any) outside the circle of musicians, but hopefully since the musicians are closest to the mics they will be favored.
Imagine the circle of players as the numbers on a clock with the mics in the center.
I'll start with the stereo omni scenario since that's easier to picture-
With Healy or J-disc each mic is directed towards half of the circle, Right mic points right, Left mic left. Right gets mostly 12 to 6 o'clock, Left 6 to 12 o'clock. The playback stereo image is the overlap of those two 180° patterns so the illusion will be that the player at 3 o'clock appears hard right at one speaker and the picker at 9 o'clock hard left at the other. In the center of the soundstage you'll hear the players situated at 12 o'clock and at 6 o'clock. Likewise, sounds originating from the 1 o'clock position and the 5 o'clock position will be reproduced just left of center and sounds from 2 and 4 o'clock will appear to come from just inside the right speaker. The same thing happens on the left side- 7 & 11 o'clock will playback just left of center, 10 & 8 o'clock just inside the left speaker. In essence the back half of the circle is folded over onto the front half. You've cut the pie in half and doubled it up.
The Blumlein scenario a bit more complex-
In that case you'll also have each mic dedicated to 180° of the full 360°, but because you're now using fig-8 pattern mics, that 180° is split between two opposing quarters of the circle. The Right mic is pointed at 1:30 and primarily picks up the sounds that originate between 12 to 3 o'clock (the front lobe of the fig-8) and 6 to 9 o'clock (it's back lobe), the Left mic points towards 10:30 and picks up it's lions share of sound from 9 to 12 o'clock and 3 to 6 o'clock. On playback the stereo illusion will be the same as above for the guy yodeling at 12 o'clock and the dobro player at 6 o'clock - they are both reproduced in the center between the speakers. All other positions are a bit different though. Now the mandolin guy standing between 1 and 2 o'clock is reproduced hard right at the right speaker and so is the bass player that was standing on the opposite side of the circle between 7 and 8 o'clock. The front facing quarter of the circle fills the stereo field between the two speakers this time, whereas with the omnis the whole front half of the circle did. In a similar way, the back quarter of the circle between 4:30 and 7:30 (instead of the entire back half) is folded over onto the front half like in the previous example, but is also flipped left to right.
It starts getting strange for the guys on the sides. Any sounds originating between 1:30 and 4:30 and between 7:30 and 10:30 will be picked up by both mics, but the signal picked up by the 'back lobe' will be inverted in it's polarity. The stereo image facing sideways will be 'out of phase'. On playback sounds from those directions won't image sharply between the speakers but instead may sound like they are coming from somewhere outside the speakers or may just sound more atmospheric and hard to pin down. That's not necessarily bad, it could sound great. You might be able to use that effect to artistic advantage depending on how you orient the mics and what sounds you place there. Thats why I asked those here who have tried this what happens to players located at the sides.
Interesting note: If you play your Blumlein recording back using some kind of Dolby matrix surround decoding (not Dolby digital) like is found on most home theater systems, those 'out of phase' sounds that originated from the sides will be panned towards the surround speakers.
You've cut the pie in 4 pieces and stacked them up (and in doing so you've flipped 2 of them over and turned 2 of them inside out).
OK, I admit the pie analogy is a stretch.
Cherry rhubarb for me please..
[Note edited quite a bit for clarification and for a few grammar rocks]