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Ive never known what "deodexed" actually means tbh(?) but most samsung based custom roms for the s3 are deodexed so why not try one.
What carrier version are you on mate?
Is that why in /system/app on an ODEX'ed rom, you will see the .apk file and then next to it you will see the .ODEX file?
Whilst on a DE-ODEX'ed rom you will only see the .apk file? DE-ODEX'ed meaning, the .ODEX file has been, for lack of a better term, included in the .apk file like you said Jhawkk????

So, hypothetically, if the OP were to delete those ODEX files and just leave the .apk files from within /system/app, what would that do to those apps? I would surmise they would not function correctly.
The only reason I mention that, and for the life of me can't remember where I read it, someone suggested removing the ODEX files. Now, again, I don't remember why or for what issue another was having.
But in order for the OP to make the rom DE-ODEx'ed, it would not be that simple. I would assume alot more is involved.