It's most likely that you would screw your phone up if you use that method.
I'm not 100% sure but I wouldn't do it ;)

FOTA doesn't reflash the EROM, it's just an update.
The CID update is a script and I don't think it'll work out for you brown EROM.
Again: I'm not 100% sure, try if you want to but you might kill your phone.