Once established on the ILS glideslope it is not back to pitch and power as you imply.
I should have written: "point and power" = Power for speed and pitch for glideslope.
Personally, like yourself, when flying I don't think about this at all. It's really only when instructing a student who has trouble staying on the glideslope and maintaining his speed constant at the same time that one has to come up with a simple solution.