Without the benefit of an Aerad plate to hand let me make a suggestion.
The confusion you are seeing is with the descent profile for a no-GS (ie Localiser only approach). For this approach you make your initial descent to 1580 once established on the localiser, and may only begin the descent down to MDA once you have passed the CIT inbound.
None of this has any bearing on the way in which the ILS should be interpreted. In this context the 1580 at the CIT is simply a check altitude on the way down the Glideslope. The glideslope intercept will occur sometime before hitting the CIT.
Does that make it any clearer?
-2Donkeys