gryphons are great knives but not much like a A-F or a mark 2 if for no other reason than they arent double edged daggers.
i dont know if you will be able to pick and choose what gear you carry in the army, i would wager certainly not at 1st anyway, if i could & was looking for a fixed blade i doubt i would go with a A-F or a mk2, i would go with something a bit more utilitarian vs a fighting dagger with very little utility use, you use something like that 1000's of times to open boxes/etc and would probably never use it to dispatch sentries/etc, i would go more like a mad dog SEAL ATAK2 or with one of the busse fixed blades myself FWIW. your LMF would also be ok i suppose.
i have a '71 mark 2 i got new in '72, and have had a A-F or 2 thru the yrs and i prefer the mark 2, it just seems more robust and heavy duty to me, IIRC boker makes (or possibly made?) a A-F, those are gonna be a lot better than some A-F i have seen which are cheap and not very well made, both are pretty much strictly fighters with very little utility ability, though i have dressed a rabbit or 2 with my mark 2, a job it sucked at lol.
i have heard the new gerber mark 2's are not as good as the old, and old mark 2's are hard to come by and expensive, i have not handled a new mk2 though, but i have not heard much good about them and have heard they just dont compare to the old.
i dont have a clue as to why a "wider blade is the key to putting on an edge" that depends on the grind imho, mostly, and the angle of the grind, FWIW neither an A-F nor a mark 2 is gonna slice like a bowie (ie a SEAL ATAK2 or a busse) but what the width of the blade would have to do with it i havent a clue, ya got me on that one lol.
anyway, imho neither the mk2 or the A-F would be what i would pick if i was going into the infantry heading for iraq tomorrow, i would pick something like a bowie so ya would have some utility value and use my M4 for killing vs my knife, & if i was gonna get into a knife fight i would go with my ATAK2 over the mk2 or a A-F anyway, it can slash and stab vs just pretty much stab,
and i love my old mk2, i have had it for almost 40 yrs now, and it looks cool for sure, and is well made and rugged, but i think its just too much strictly a stabber to be of much use in the military, to be honest if i was shipping out tomorrow the knife i might choose would be a leatherman multi-tool lol vs any of the others.