Arrr, That is correct... the MAP on the charts is for the LLZ approach, use the DA for the ILS.
If ye be electin to discontinue the ILS (Missed Approach), then ye'll be losing your vertical guidance (glidepath), so it becomes a LLZ Missed Approach, in which case ye shall track to the MAP (usually the Middle Marker) via the Localiser, at which time ye'll continue the missed approach as per the chart. (Climb and track as required)
That be all from me, I be off to pillage!
Yarr!