I'm having a hard time believing this.
All the Marines I talked to who were on Iwo never mentioned a Japanese flying on Suribachi at this period. You would think a Marine or sailor somewhere at sometime would have mentioned this Japanese flag raising, at least in passing.
Perhaps it didn't it matter if the losing flag was in that spot a couple of times. It's the flag that remains (particularly if a photo is taken) that earns a place in history.