Interesting approach, Iblis.
What theological arguments favor the 10-minute theory? I can't imagine any.
On the other hand, I can imagine a biblical literalist's response: "the Bible says 5000 (actually, I think they usually say 6000) years ago, and because the bible is the inerrant word of God, it must be true." Of course this response is not a reasonable argument, but it's the one they use, and it works equally well (which is to say not at all, except in the minds of the literalists) against the 10-minute theory.
In other words, I'm not sure this argument would really be effective against confirmed creationists. I think it may be more effective to dissect their debating strategies and to expose them as poor critical thinkers.