You still have 2 parallel sides to take into consideration and they will create a standing wave also, a box has 3 parallel sides, front to back, side to side, top to bottom .... the brace is to strengthen you weakest panel, the one with a huge hole cut in it .... you may or may not need to brace the other sides, but most likely you'll be OK on the other side as MDF is pretty strong and doesn't flex (resonate) until you have a side longer than 3 feet assuming you are using 3/4" which it looks like
The inside of a cabinet is still considered being in 'free air' (as far as the speed of sound is concerned) until you include some batting material to slow down the soundwaves ... the pressure caused by the woofer movement doesn't change this enough to be relevent, the pressure created in a closed (non-ported) box is used to damp the speaker movement and make it more controlable and to set the resonant frequency and cutoff
I have a recording studio in my basement, a modified LEDE (Live End - Dead End) design and I splayed one of the longest (side) walls to break up the standing waves but I still had them front to back and ceiling to floor .... On the Dead End wall I have a tuned Helmholtz Resonator (bass trap) built into the wall to 'soak up' the standing wave and I also have a couple built into the drop-in ceiling to cut the floor to ceiling standing wave, plus another 'contraption' in the back 90 degree corner ... the slanted wall thing does work but you have to do it to ALL 3 sides to completely elininate the standing waves, which isn't very practical with wood .... this is why you are seeing more and more cabs made with composites which can be molded with curved surfaces like my little JBL Control 1 near field monitors, the first 'prebuilt' spoeakers I have bought in nearly 20 years ...