I think that's only for BIOS updates, not ME. ME uses an Intel provided flash EXE. It would probably run on PE or definitely Windows to Go though.
Now you need wimlib to create the WinPE image: "mkwinpeimg --windows-dir=/mnt winpe.img --overlay=$HOME/.wine/drive_c/DRIVERS"
The resulting winpe.img can be dd'ed to a USB thumb drive. Boot into it, and execute "cd /WIN/AMT/HECI_REL/win10", "drvload HECI.inf" (to load the MEI driver) and then "cd /WIN/ME/", "MEUpdate.cmd" to update the ME firmware.