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Now I'm sorry if the title sounded misleading but it's not at the same time. I am NOT going to be ignorant on this subject and say I know stuff (which I don't anymore about the ps3 really) but from what I know. DEX -> Shop Firmware.
I found this video on how to downgrade 4.20 shop to 3.55 shop fw.
If that works I remember someone sending me a CEX to DEX converter (they wanted me to compile it in console) but anyway if you can convert your ps3 fw to dex, and downgrade. Being on 3.55 can you convert back from dex to cex?
Now that might sound extremely out of this world, and not possible. I haven't been on this scene in like a year, or what not but maybe if it's a possibilty?
You can't just put your ps3 on DEX (and DEX is a Debug firmware) firmware like that....you have to dump your flash and extract the metldr, then use the data within it to obtain a dump of your eid rootkey. Then you need to downgrade to 3.41 Hermes and then you can use Multiman to flash the DEX eid then from there you can flash the DEX firmware.