If you're putting equipment into Agility anyway, which is basically necessary these days for the typical STR-focused build, there's not much difference between doing that and just boosting Agility higher to begin with. Your base STR is a little lower but you'll put back into it with the equipment no longer going toward Agility. Ultimately, the only difference that makes is that your first attribute boosted (Run archetype + STR first or Pass archetype + AGI first) will have a slightly higher base, so you'll squeeze something like an extra .5 out of their respective attribute VA. Big deal. :/
Archetype also determines which SAs get boosted/penalized, which is about the only relevant difference between the two. Meh...