The only tricky part is going from inner segments to outer segments and vice versa - the only place preserving the pattern is at the top left corner
Well first of all this. ^^^
Then, I could be wrong, but....
Have you tried reading inner flames ccw? Pattern goes away. Unless you start on the bit where the cw pattern ends, top left inner track yellow green flame ( Because it can't loop into the outer tracks correctly)
Have you tried reading outer flames cw? Pattern goes away. Unless you start on the bit where the ccw pattern ends, ( Because it can't loop into the inner tracks correctly
Start reading where feedo suggested, pattern is not there (his is an odd bit). Start at the flame after feedos suggestion and the pattern comes back, but ends in a place where it can't easily continue to the outer tracks.
Soo.., if you care about having that pattern run through the whole image, the starting point is absolutely important. There is essentially only one way to do it (if you want inner track to be read first) and you can go cw or ccw.., but you gotta start at the first or last bit in the sequence., or read the outer track first and the same rules apply.
Whether or not it is important to have that pattern run through the whole image, or if it's important to pay attention to... idk.