To be fair, all the three protagonists have been shown to be resourceful in their own way, but their level of resourcefulness is invertly proportional to their power level. Because let's face it, you only need to be resourceful when you don't have the power to take things head on, and there's very few things that Accelerator can't take head on.
btw, it's interesting that you're mentioned that people like Accelerator more because he isn't like Touma which is true, I can see the appeal. Yet for curious reasons, he has never beaten Touma in those official character rankings before.
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