Computing, binary data
Address spaces are in ascending order, but for writing numbers, place value is in *descending* order. In my opinion, the little-endian byte order gets it technically right by having a consistent and logical order, just ascending. The big-endian byte order mixes the two, with addresses increasing but byte "place-value" descending.
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(Source code)
Besides, executables are generally produced from a very high level, from a compiler. Why add complexity and subjectiveness to make hex dumps easier to read (for example)?