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If youre on a 3k, and willing to just use Half Byte Loader, then yeah. But, you arent willing to make that change then stick with ChickHen and GEN-A/B/C.
HBL is just a way to run unsigned code, much like ChickHen. But, its run through a Patapon 2 demo savegame exploit. So the way to really play the games/emulators would be by running the Patapon 2 demo savegame.
The only custom firmware for a PSP 3000 is 5.03. If you upgrade past that you lose all access to custom firmware. There is no way to downgrade back to 5.03 and there is no custom firmware for firmware higher than 5.03.
The Half-Byte Loader lets users run homebrew if they have updated past 5.03 to 6.20. It does not work on firmware 6.30 or 6.31. It does not allow you to use a custom firmware. It does not let you play ISO or CSO games.