Here is where things get tricky.

Cause: Incorrect base ISO version. The patch was built for the original release (V1.0). If you have the "Best Price" reprint or a modified ISO, it fails. Fix: Find a clean "Kamen Rider Super Climax Heroes [JP] [ULJS-00386]" ISO. Do not use a pre-patched download.

Cause: The English patch changes internal memory addresses. Old save files cause name glitches. Fix: Delete your old save data from PSP/SAVEDATA/ULJS00386SLOT01 before loading the patched ISO.

If you search online for a patch, you may encounter fake download links, clickbait YouTube videos, or mods for the PS2 version (specifically Kamen Rider Climax Heroes OOO which has a menu translation). It is important to distinguish between the two.