I just finished playing through HF, so now I've finished all the routes, and I've been wondering- which of Shirou's various paths eventually creates Archer?
It's probably not either of the UBW endings, since he still has Rin and cuts out the line about never holding anything from the prayer. HF certainly screws him up enough, but also sees him abandon his ideals. I saw somewhere that it's Fate, and that seems plausible, but there's really nothing in the ending that directly implies it, unless I've just forgotten. I guess it could also be an entirely different destiny, one that would have taken place if he'd followed his ideal directly without taking any of the game's routes.
Mind of Steel does not create Archer. None of those paths create Archer.
My reasoning for saying MoS doesn't make Archer is that if he had gone through MoS, he would have been able to make the connection of "Sakura died, Shadow disappeared, ergo Sakura had something to do with it." The closest is Fate, because he lost the sheathe, he never fought himself(try and wrap your head around that) and he never questioned his ideals until it was too late.
"I'm sorry, I thought I just heard the least appropriate person lecturing me." FartScrap - My E-Hero