Well this seems like the perfect time to share this...
A couple months ago I took some measurements of pink noise using bi-directional on my C12 with CT12 capsule in order to compare the front and rear side of the mic. Here's a graph of the frequency response difference. Please pay attention to the EQ curve and not the colored graphs below it. I used the front as the reference, and applied its response to the rear. Meaning the front of the capsule/mic has 4dB more 15kHz, is about the same at 10kHz, a notch at 6k, less mids, more lows, etc. https://copy.com/PABXFOoBKN3I
Since I have not tried a different capsule, I do not know if this difference between the front and rear is caused by the circuit or the capsule. Tolerances for a CK12-type capsule are supposedly all over the place according to many sources, but I do not know what "all over the place" really translates to in terms of dB. As you can see, there's as much as 4dB deviation on mine. The front sounds a lot better than the back IMHO, but as you can see, it's got a robust low-end compared to the back, which is perhaps masking the highs. This could explain why my C12 is not nearly as bright as I was expecting, but my expectations may have been unfounded based on internet chatter.
So yes, I also experience the rear being less bright than the front in bi-directional, and it's not caused by polarity and listening with headphones. However, I might experience the opposite if I flipped the capsule around. It would require a test to see if it's the capsule or the circuit. Unfortunately the wires are so tiny, it would simply be too much of a hassle at this point in time for me to give that a try and see what happens.
dmnieto, perhaps I misunderstood, though. Is your overall mic muffled in bi-directional, not just the rear?
Also, I do not know if it helps, but my completely stock Apex/Alctron was way brighter than once I modified it to the C12.