"Brochures" are all very well, but time passes and memories fade. Things get lost out of nav bags, others operate in from overseas and there are new entrants to this game all the time who never get a brochure at all.
And as is often the way in this particular little backwater of the industry, some t(c?)rusty old training Capt will mark you down on your line check for not doing things how he thinks it should be done!
As alluded to by another poster, Jepp or AIP can be the only source document and even Jepp ATC 6.3.1 (f) isnt that clear.
In my humble opinion a "localiser check" is hardly an instruction or clearance. The very fact you have already readback the runway (which has a unique localiser freq), surely means you would be telling them the same thing twice. Pointless.
Maybe someone from SYD ATC can offer something?