What do you mean the PSP thinks it's 2.71? System software will still say 'Version 2.71 SE-C'.
Are any 3.00 features working, like the visualiser?
Are you on 2.71 or 2.71 SE? If you're on 2.71SE, follow one of these:
To re-install SE. put the SE-C installer along with the DATA.DXAR file into the 'PSP/GAME' folder and launch the program from recovery menu; this will re-install SE-C.
If you want to downgrade to another version, download the generic downgrader from
Dark_AleX and place it in the 'PSP/GAME' folder along with the official Sony updater file (named 'UPDATE.PBP') and launch the program from recovery menu; this will downgrade your PSP to whatever firmware version the update file is.
If you're on 2.71, download HEN-D and the generic downgrader from
Dark_AleX. Install HEN, and then the downgrader.
To install the downgrader, place the files in the 'PSP/GAME' folder along with the official Sony updater file (named 'UPDATE.PBP') and launch the program from recovery menu; this will downgrade your PSP to whatever firmware version the update file is.
Of course, if you're on 2.71, you could just TIFF downgrade.
Is that what you wanted?