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I went through NPC: Pikmin 1 and never found any reason to patrol and throw at the same time.
That being said, I imagine it's a lot easier to do both of those things at the same time on the Wii version than on the GC version. You use the same thumb for the C-stick and the A-button, just like the Wii's D-pad and A-button. The difference being that the D-pad is in a better position for you to hit both inputs at the same time. ~_~ Boy, that was awkward to explain.
Thing is, (At least I did) you use patrol to gather the pikmins closer around Olimar, allowing you to throw faster. Now, there's no way to throw that fast while holding the thumb on the d-pad and carefully aiming at the same time.
Maybe Doopliss isn't kicking ass, but he's taking names!