If you lose your glide slope and you are still above LOC mins you can still complete the approach as a LOC. Thats why you should still start your clock when you cross the FAF for the LOC, if timing is how you identify the MAP.
I dont see how you think that you are switching approaches when the LOC freq is still the same for both the LOC and the ILS.
Hope your not teaching your students to go around on the ILS 7 at KDAB.