The spine on an LMF II is rounded a little and would be no good unless I filed it down.
A good point though. I've done this to stoves and such lighting them with a firesteel. What I might do is cut and tape a hacksaw blade and include it in this (for lack of a better term) kit. The Gerber Diesel has a wood saw but no metal saw...would compliment the set well and make a fine striker at the same time.
All it needs now is some cordage in case I ever want to lash the knife to a pole. I doubt I'd ever do it but it's designed for it so I might as well be prepared. Wrapping the sheath is out at this point. Maybe one of those paracord keychain box weave fob things? I could likely make one with my usual yellow accessory cord. It would give some extra grip in case I needed to choke down on the handle for chopping leverage.