This time, for consistency and improvement's sake, I have utilized only the games from the CCRL as I know they are tested with both sides playing White and Black. Yes, they are at blitz controls played by a wide variety of engines, but the data is still interesting to me. The average score for White in this database is 52.17%. So, I have set the margins to be +/- 4%, which is 48.1 and 56.1. Then I got rid of the games with > 20% draws. The result is 320 start positions: 160 from 48.1% - 52.1% and 160 from 52.1% - 56.1%. Here they are in order of win percentages, low to high:
RBKNBQNR
RKRBBNQN
BQRBKNRN
BRNBNQKR
QRKBBNRN
BRKNNBQR
QBRNBNKR
RNQKBRNB
RBNNQKBR
BBRNNKQR
RQKNBRNB
BNRQKBNR
QBRNBKRN
BRNQKNRB
RBNKBRNQ
RBNQKRBN
RQKRBBNN
RBQNBKNR
RKBRQNNB
RQNKBBRN
BNNRQBKR
RNBKRNQB
RKNQBRNB
QBNRKNBR
RBNKBQRN
QNNBBRKR
RBKRBNNQ
RNKRBQNB
BBRKNNQR
RBNKRQBN
QBNNRKBR
RNKQBNRB
NBQRNKBR
BBRKQRNN
BNRKQRNB
NNRKRQBB
RBKQNNBR
RNBBKQNR
NBRKBNQR
BBRKRQNN
NBRKBNRQ
NRBBNKRQ
NQRKBRNB
NRBKNBRQ
RQKBRNBN
BBNRKRQN
BRNBQKRN
NRKRBQNB
RBKNBRNQ
RNBQNKRB
BBRKNQNR
QRBNKNRB
BRKQRBNN
BBQNNRKR
RBBKRNQN
RBBKNRQN
NNRBKRBQ
QRNKRNBB
BNQNRBKR
BNRKNBQR
NRBNKRQB
QRNKNBBR
RKBBNRNQ
QRKBBNNR
QRNKBBRN
NBRQKRBN
NRKBRNBQ
RBKQBRNN
NRNKBRQB
NRKBBRQN
RQKNBNRB
RBKRBQNN
RBQKRNBN
RNKQRNBB
BRNQNBKR
NRBBQNKR
RKNQNRBB
RKRNNQBB
RKNRBNQB
BRKQRNNB
NNQRKRBB
BBNRKRNQ
BNRQKNRB
NRKBBQNR
QNRNKBBR
RNNKRBBQ
BBRNNQKR
QNBRKBRN
RKQRNNBB
NRKRBBNQ
RQBKRNNB
BNRNQKRB
RQKBNNBR
RBKNBQRN
QRNKBBNR
NRQKBRNB
RNKRBBQN
BRKQNBNR
RKQRNBBN
NBBRKQRN
NRBBKRNQ
RBNKNRBQ
RQNBNKBR
NBBRKRQN
RNKNBQRB
QRBBNNKR
NRBBQKNR
BNNRKBRQ
RKRNBQNB
BNRKRBNQ
BNNRKBQR
NQNRBKRB
BBNQRKNR
BRKNQNRB
NRBKRBQN
RKQRBNNB
BBRKNRNQ
RKNNQRBB
BRNNKBRQ
BNRKRBQN
BBNNQRKR
QRNKNRBB
NQRKNRBB
NRKQBBRN
QRKNBBNR
NRNKRBBQ
RBNNBQKR
BNQNRKRB
RKBBNNRQ
BNRQKBRN
BBQNRNKR
BQNBRKNR
RNKRNBBQ
BBRNKQNR
BNRKQNRB
BQNNRBKR
NRQKNRBB
NRNQKRBB
BNRBKNQR
NNQRBKRB
BNNBRKRQ
NBBRNKQR
RNBBKRNQ
BNRKNBRQ
BBNRNKQR
RKNBBQRN
BNRBKRNQ
NNRKBQRB
BQRNKBRN
RBQKNNBR
NRBBKRQN
RBKNBNQR
BRKRNBQN
NNRKBRQB
NRQKBBNR
QRKNBNRB
BBNNRKQR
QNRKBBNR
QRKNBBRN
QNRKRNBB
RBKNBRQN
RNKQBBRN
RKQNNRBB
RQKRBNNB
RNQBBKRN
NQRKBBNR
NRBQNKRB
BRNBQKNR
RBBKNRNQ
RQBBKNRN
BNNQRBKR
NQRNKBBR
BRNBKRQN
QBNRBNKR
RNQKRNBB
BRNKNBRQ
RQKNBBRN
RNBQKRNB
RQKNRNBB
QRNBKRBN
RNKBBNRQ
RBKNRNBQ
BRKNNBRQ
BQRKNBRN
RBBNKQNR
NBBRKRNQ
RQNNKRBB
BRNKRBNQ
BBRNKQRN
RBNKBQNR
RBQNKNBR
RKNRNQBB
NNRBBKRQ
RBBKQNRN
NRBNQBKR
NBNRKRBQ
BQRNKRNB
QNRKBBRN
NRNKQRBB
RNBBKQRN
NQBRKBRN
RKNQRNBB
NBBQRNKR
NRNKRQBB
RBNNBKRQ
BNRNKBQR
QRNBKNBR
QRKNNBBR
RKQBBNRN
NBRQBKRN
QRBKRBNN
NBQNRKBR
QRKBNRBN
RNQNKRBB
QBBNNRKR
QRNNKBBR
RQNKRBBN
NBNRBKQR
RNKNRQBB
BNRBQKNR
BBQRKNRN
QRKRBNNB
RBKRNNBQ
NBBRKQNR
RNKRNQBB
RKBNRNQB
RBBKRNNQ
NRQKNBBR
RQKBBNRN
RNKNQBBR
RKQNRBBN
BBNRKNQR
BBRNQKNR
RBBKNQNR
NQBBNRKR
RNKQNBBR
RKRQBNNB
BNNBRQKR
NRKBBRNQ
QRKRNBBN
BRQKRBNN
NNRBKQBR
NRNBQKBR
RQNKBRNB
Chess960 / Fischer Random Opening Suite


(List continued)
NRNBKQBR
RKBBNQNR
RNBNKBQR
BNQBRNKR
RKBBNNQR
RQNKNRBB
QNBBRNKR
BBRKNQRN
NQBRKNRB
RBBNKNRQ
RQBNKNRB
NQRKBBRN
RBNNKRBQ
BQRKNBNR
BRKBQRNN
BRNNQBKR
BNNRQKRB
RQKNNBBR
QBRKBNRN
RKRBQNBN
RQKBBRNN
RNBQKBNR
BRNKRBQN
BRNBQNKR
QRKBNNBR
BBRKRNNQ
BBRNNKRQ
NQNRKBBR
BRKRNQNB
RBQKNRBN
BQNBNRKR
QBRKRNBN
RNNQBKRB
QNNRBBKR
RNKNQRBB
RBQNNKBR
BRKNQBNR
QRBNNKRB
BRKNRNQB
RBKRNQBN
RKBBQRNN
NRBBKNRQ
NQBRKBNR
BNQBRKRN
BQNBRKRN
NRNBKRBQ
RKBBRNQN
QNRKBNRB
BRNKQRNB
BBRQNKNR
NBQRKRBN
QBRNKRBN
QRNBBNKR
QRKNRBBN
QNNRKRBB
RNNBBKQR
BNRQKRNB
BRNBKNRQ
RBBNNKQR
RBKRBNQN
NRKQBBNR
BBNRNKRQ
QBBNRNKR
QBRNKNBR
NNQRKBBR
RQNKRNBB
RKNQBNRB
NNBBQRKR
RKBNRBQN
RKRNQNBB
NBRKBRQN
BBRKRNQN
BNRNKQRB
NRQNBKRB
RBQKBNRN
BNRKRQNB
(List finished)
It's obvious, after looking at stats from hundreds of thousands of computer Chess960 games, that not all start positions are equal. White scores very high in some and very low in others, and quite a few lead to draws > 33% (or < 10%) of the time. This list is not perfect, but I think it's a good start. In time, as more shuffle chess games get played from all 960 positions, this list will improve.
(The rest of the text was removed by original poster. See my posts below.)