You missed the key part.
There are no opponents in Pikmin hence no strategy....
substitute the control of the pikmin with a zelda ability and you can retain the core game.
You cannot do the same with starcraft or CC or AoE or TW, etc.
Saying that because you can control multiple units in Pikmin it is an RTS is akin to saying Zelda is a fighting game because you fight with a sword, or that GTA is a racing game because you can drive.
This was a derailing of the thread, so I'll stop. At least think about my points here, if you think I am completely wrong here then we can agree to disagree. Just like I argue pikmin is an AA, I will argue Smash is a fighting game, and Fallout 3 is an wRPG. Genres should be defined by core ideas and why you play, not a list of superficial mechanics. Pikmin definitely introduced a subgenre that took RTS elements and used them in a way suited for consoles, so not trying to take any credit from it.