Miyuki's moéness is discussed (by Konata, anyway); Kagami is out with a cold (or is it Cold v.Flu.0?) and gets an unexpected visitor... with an expected request.
I don't know where you got that out of a 13 and up series when that doesn't even happen in a manga series rated Older Teen. (Or at least the one series I have rated that.) Did somebody describe a Lucky Star doujin to you?