I'm not following what the debate is about. The minimums apply at... minimums. Not sure what can happen outside the FAF conceptually that bears on this.
This is not my area of expertise, but sure enough max (and min?) speeds may be relevant when any maneuvering (turning) is involved. Not all approaches are vectored straight in ILS. There are plenty of RNP (AR) approaches that will have you maneuver way below the mountain tops, I flew one with a 1,75 Arc RF leg in the final segment and 2,40 Arc RF leg in the intermediate segment, approved for Cat C/D aircraft. The OP asked when you're governed by your aircraft category. I would argue from the IAF, based on the table below (which is ICAO PANS-OPS). Will it work to fly
most approaches faster? Most likely, they aren't edge cases.