AandC:
You are correct, the * has disappeared from the EGKK charts.......... But it was there at one time for the reasons I discribed.
Perhaps not in accordance with some ICAO specification? KLAX has three runways that share a common ILS frequency for each runway end. They switch every night. The "*" hasn't been on the KLAX ILS charts ever, to my recollection, which goes way back for that airport (it was my home base).