Well now, 8846, at least you seem to know what you are talking about, specifically, the ILS installations that you are familiar with.
I would certainly agree, in that context.
However, some who read here should realise that in other parts of the world, extended range high power ILS installations are available, and KLAX is one of them.
Arrival routes predicated on their use are published, and aircrews are expected to comply, by ATC.
If they do not....well, I suppose the concerned flight could be diverted somewhere else.
Anywhere else, for the betterment of all concerned.