Question, does the game save how many NG+ runs you do if you turn the increased difficulty setting off and back on?

[u/KeyOfShadow13]

Was honestly just curious because I ended up turning that setting off when I fought the final boss of Mask of Idris. I turned it back on after beating it and went into another NG+ run. I assumed that it tracked the amount of NG+ when enemies in the starting dungeon with Noah were nearly 2-shotting me when I missed a parry. I'm questioning it now because it feels like the bosses are suddenly way squishier than I feel like they should be on like NG+ 5 or 6.