In the case of the puzzle, the input bits consisted of the six-bit cipher derived from the ribbons on the key paired with each of the 6-bit chunks from the 608-bit string encoded in the flames. After the XOR operation was applied to the entire string, the new string was then divided into 4-bit chunks, each of which represented a single flame in the photo.
Each bit in the 4-bit chunks represented a characteristic of the flame and each characteristic group could be represented as a bit: short (0) or tall (1) / red (0) or yellow (1) border /narrow (0) or wide (1) / purple (0) or green (1) interiorin that order. So, for example, a 4-bit chunk with the value 0110 would be a short (0), yellow border (1), wide (1), purple interior (0) flame in the painting.

Turned out we had absolutely all elements figured out ages ago. Amazing how no one stumbled on correct reading order.