You know, Lucky Star isn't a dating-sim.
I don't think you've got the spirit of the slice-of-life, four-panel comic strip. It's not really supposed to have a plot. And the humor is loose and absurd, underhanded and self-satirizing. I think you're missing part of the point, which is, there is no point. There is no plot, there isn't even a real joke. It sure is funny though.