cl12pv2s
The FAF for an ILS is the point of intercept at the particular altitude. The FAF is not part of the ILS system.
I don't quite agree. You are describing the final approach segment not the FAF.
This is taken from Transport Canada's TP308, design criteria, I'm sure it conforms-in some way -to ICAO.
SECTION 3. ILS CATEGORY 1 FINAL APPROACH
930. FINAL APPROACH SEGMENT
The final approach segment shall begin at the point where the glide slope is intercepted and descent to the authorized decision height (DH) begins. This point should be coincidental with a
designated FAFassociated with the non-precision portion of the approach. At locations where it is not possible for the point of glide slope intercept to coincide with a designated FAF, the point of glide slope interception shall be located prior to the FAF.