I'm not going to lie I used to hate the time limit in pikmin 1 but that was when I sucked at it. I just kept resetting if I didn't get the desired things done to not run out of time. Anyway Pikmin 1 wasn't really a game you played once and stop playing. You played over and over again to be a master sorta like a arcade game.
Anyway my main complaint with pikmin 2 is that we spend we too much time in caves so a time limit means no caves or atleast they will be downplayed.