Sysex/bank quirks specific to DX7iiFD E!

Not long ago I archived most of my old DX7iiFD floppy disk patches to sysex files. Today, I fired it up and since the floppy drive recently died, I sent some patches in via sysex- some .SYX and some .MID. This works but with an annoying quirk: The performance set in some banks calls patches that have the correct patch number, but *incorrect* BANK number- so when you call up PERF 1, you might get OK CHORALE but it's asking for CART 1 and CART 33, so you get the wrong sound.
 

 In other cases the patches load into E1 but the performances load into E2. I thought initially this could be managed by making sure a patch and performance were both set on the same bank, but no luck.
 

 Is there a way to directly modify the sysex files to correct this?