Now I almost fear to post this but have a query.
If hypothetically one were to fly a cat I cleared aircraft down an ILS approach keeping it on centreline and glideslope would it be directly over the centrline and at touchdown point on arrival (as at cat III aircraft flying the approach on autopilot would be) or are there inherent/allowable inaccuracies in the equipment on the aeroplane which would mean that you could have the on centreline and glide display and emerge off centreline/glide
I know that there could be gruond based discrepancies due to unprotected approach aids and that the correction required if you get off track will be progressively greater for the distance off track you are as you get closer to the threshold but let's discount these for the moment.
I am trying to put myself in the position of what I believe might be possible approaching at my minima with no fuel reserve.