Man. I've seen this question come up in other non-D20 game forums too.
I'm not trying to disrespect Anthony in any way, but there's always someone who brings up real-world strength vs. real-world dexterity or reflexes. I think such arguments only go so far because it is a matter of conditioning fast muscle contracors rather than building up strength. But, I can only speak from my experience, not Anthony's. Meaning simply, I don't think melee accuracy in the real world is a matter of strength, but rather of conditioning. That's been my experience, but yours may vary. My point is not to start an argument with Anthony, but to suggest that there is a real-world counter to your argument (and, ostensibly, to mine), and as such, discussing the real-world logic behind the system may not be productive. Anthony's points, "2" and "3", are more compelling I think.
Bushido, in some cases, you simply have to make allowances for the nature of the system. This is D20. This is one of the basics of D20. It can be changed if you don't like it, but as Greyseer points out, that would add a capability to Dex and remove one from Str. If you're okay with this, you may wish to alter the costs for the respective Super-Abilities appropriately.
I don't have a problem with using Str to modify melee hit accuracy. Not because I think it is accurate; I don't. But rather, I feel, at some point, one just has to realize that every game system has its flaws and hang-ups and "things that make you go 'hmmm'..." The important thing is, the system works. But if you wish to tweak it, that's fine. For me, there are already options in place to allow a low-strength, high dexterity character to hit with just as much accuracy in melee, so no big deal.
"It was just that he was all alone, always by himself; never anyone to share the game. A man who lived in dreams. That's who he was."
Are you living in the real world?