Thank you, Talkdownman. I thought that I had seen the info. about 23 ILS somewhere. By the time I joined ATC, 1971, 23L was only rarely used (usually when there were screaming south/south westerly winds). However, as you say, 05 had no ILS & was even more sparingly used. Nevertheless, I have an abiding memory of seeing a KLM DC8-63 being vectored downwind left hand to 05R (just to the west of LATCC) during a break. That was in a period of gale force north easterlies & 'LL were on 05R all day. I saw plenty of downwind arrivals on the radar, but the KLM was the only a/c I saw "in the flesh". Very impressive sight over Sipson (was it?). I can't remember which runway 'LL were using for departures, though. I would guess 10R.
I'm thankful that I am not totally gaga, yet !