Question on late washing with max HP skill

Hello ML community. This is a question directed at warriors/Bucc's who have maxed Improve MaxHP, the 1st/2nd job skill that gives you the bonus HP when you add a fresh AP into HP.

Let's assume you are in a scenario where you have no extra MP for washing and a lot of extra NX to spare. Would you still have net positive HP if you do the following:
1. Put fresh AP into HP
2. Reset an AP from HP into main stat

If this works, this might be useful for late game washers that have reset out their base int but would still like to squeeze out as much HP from every spare fresh AP.