I'm not confused, I just can't explain it well enough I guess. The grounds aren't independent. They just aren't chained. The ground is split, as is normal with most headphones.
The stock version had the ground go in the left driver first, and then into the right driver, a chain. Then again the current flows out through the ground, so I'm not sure why this results in a weaker signal.
The beyerdynamic dt770 pro is also soldered in this way, and I too noticed a pretty big decrease (probably only 1~2 db) in sound pressure through the right driver.
I'm thinking I'm also experiencing some 'brain burn in', remember when I couldn't listen to these headphones without a thin membrane of paper filtering the sound (with the ovals)? I removed the paper a while back because I thought the sound was muffled...
I do highly recommend doing the balanced cable modification. You would think that having two drivers playing at the same spl is quite important, for about any aspect of the sound!
Fun fact: I've noticed I'm getting Autonomous Sensory Meridian Response (ASMR) since this cable mod... Probably due to the enhanced stereo effect.
If there is anyone out there that wants this mod done, but can't for any reason, you can send your headphones to me and I will do it for free.
Seriously I'll solder any cable for any headphone, it's so much fun!
Don't think there's anyone out there that trusts me enough though