Furthermore, if DMY makes sense, then you could argue that SS:MM:HH or MM:HH has a valid use case. (It does not.)
Hence, ISO 8601 is the one true date format, assuming you still believe in writing numbers in big endian.
If you want, you can argue for numbers being written in little endian. For example, the year "two thousand twenty-four" could be written as 4202, and maybe pronounced as four twenty thousand-two. In that case, go ahead and write dates as SS:MM:HH DD/MM/YYYY; it is UTC 61:45:12 60/21/4202.