Another interesting insight, if we take 2 random streams, and XOR them with 011010, bit ratio in the similarities of 0/1 is as follows:
H+O: ('01_0011__1_0_0____01_0111100_00_0___110_00____00____1__11__0_______11__0____1_____1__01_1001_1_010_01_1000101__1_00111____1__100___0_10___1_10_1_10_11_1', 'Matched 78', '0/1 ratio 37/41')
H+I: ('_0_0_1_01_0_1____1_10__1__0___001_____1001__0___011_10___0111_1_110_101__1_0___1___00__01_0010___10_1_____1_____100_01_010___1__101_1100101_101__0___101', 'Matched 77', '0/1 ratio 36/41')
I+O: ('_10__01__10___0__0_011___111_00110___001_11_10__00__01001__00_0__11_01_01_0_0__1_1__10___0101_1_00_10___1___01_____00___1__0___1_10000__1___11___1_100__', 'Matched 77', '0/1 ratio 40/37')
However, in our data streams it's:
H+O: ('0____100_000____010_000101____0_0_01__0_0_0_010101_000_1010001__010__1_1_0010100_10101010_00_0010_000_00000_010___00010_010__0010_01_1000101_10_000____1', 'Matched 103', '0/1 ratio 72/31')
H+I: ('000_____0___0__0___00___0___0_0___0_000001_0_1___10_0_____0_0100___00__1_0_1_1000___0_0_0__00___00__0__0000001_0__0_0__1__00_001_1_1_100_1010_0_00___1__', 'Matched 74', '0/1 ratio 58/16')
I+O: ('0__11________01_____0___0_10_001_00___0_0____1___1__0_1___0_01________1110_1_100____0_0_01_0____0___00_0000_01__100_0_____0_1001___11100_101__0100_11_1_', 'Matched 69', '0/1 ratio 41/28')
As you see, in randoms, the ratio is close to 50/50, while in flame-streams is deviating towards more 0's after XORing with a key 011010, which it self has a 50/50 0/1 ratio.
Edit: for the reference, here are flame-bits without XORing:
H+O: ('0____101_010____110_101100____0_1_11__1_1_0_111100_010_0111000__110__1_1_1111101_11100111_01_0110_101_01101_001___01111_001__0001_11_0101100_11_011____0', 103, '0/1 ratio 42/61')
H+I: ('011_____1___0__0___11___0___1_0___1_011011_1_1___01_1_____1_0010___11__1_1_1_1011___0_1_1__11___01__1__1101000_0__0_1__1__10_000_1_1_010_1001_1_01___1__', 74, '0/1 ratio 29/45')
I+O: ('0__10________10_____1___0_00_000_01___1_1____1___0__1_1___1_00________0111_1_101____0_1_11_1____0___10_1101_00__000_1_____1_0000___11010_100__1101_10_1_', 69, '0/1 ratio 34/35')
They show a slight bias towards more '1's. Either way, the first example (with randoms) shows that XORing by 0/1 regular key like 011010 should not change the 0/1 ratio, while in flame-bits it does, quite a lot.
Edit: I guess those dumps are a bit confusing, line by line these are similarity-matches against different track. Updated the code blocks. The "Matched" entry indicates how many bits same on both streams.