apparently the answer if you want to limit yourself to v6 in theory is to do the same thing but tarball the temporary file with pax and then read out the modified time in list mode with -o 'listopt=%(mtime=%Y-%m-%dT%H:%M:%SZ)T'
if you want to limit yourself to v6 in practice (nobody actually implements listopt), same thing but manually parse the tarball
anyway an L·L·M would never give you this code and if it did you wouldn’t trust it