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All you're doing in that case is increasing the size of the room (and thereby, lowering the modal frequencies of the space). Nice try though... The only way to negate modal issues is to listen outside.
Well, by doing front and rear walls, you've addressed the room length. You've not done anything for height or width related issues.
Also, in trying to avoid modes, you've made them lower in frequency which will require even larger, thicker absorbers to deal with them.
Also, by adding low frequency trapping at a good distance from other boundaries, you potentially will create humps in filtering based on the distance from absorber to hard boundary and the related quarter wavelengths.
Also, what would we do for things like Maggies, OB dynamic designs, electrostats, etc? We really don't want to kill the back wave completely. Ah, but what you're suggesting isn't a room in a room. It's trying to make room boundaries out of something that will pass sound.
Still for a neophyte like myself, Ethan Winer, Bryan Pape, Earl Geddes, Siegfried Linkwitz and Floyd E. Toole, are GODS when it comes to room acoustics. Eat it up, learn and build your reference room. In addition, I feel that George Cardas has some effective ideas with regards to room dimensions, etc...here.