Two stops is two stops, no more, no less.
Two stops difference as defined by noise difference in minimum signals (i.e. shadows). Not two stops as defined by maximum signal captured - minimum signal captured. Of course the sensor can capture many stops...even perhaps by *luck* from pure white, to pure black for *some* pixels. The question is if those pixels are consistent and represent the signal accurately or just random noise, etc.
So 2 stops difference is not necessarily one camera can capture 2 full stops while the other doesn't try, it means that the noise of one looks like say ISO 400, and the other looks like say ISO 1600. 2 stops of noise in shadows.
This is no different from measuring dynamic range of an audio DAC, there are plenty for which there is low level noise that you can hear if digitally amplified. And some have analog gain for which in the presence of recorded signal the noise would be absolutely buried, etc...some have more read noise than others. Not only DACs but audio amplifiers as well. Behaves in a very similar nature in that after a certain amount of dynamic range, the amount of practical use cases for the ultimate dynamic range fall off. Similarly dynamic range in audio equipment is not about how well it plays back strong signals...again it is how well it reproduces the *quiestest* of signals, i.e. shadows of the audio world...*whispers* perhaps?
To me the 6D reaches good enough status.
Here are some +4 exposure pulls
of shadow regions of various sensors at ISO 100 or 400.

Banding? Must be Canon right? Nope Latest greatest Sony 24 MP APS-C Exmor

Starting to get chunky with impulse noise

Classic Canon 18MP APS-C. Heavy noise + slight banding patterns. 7D is actually worse

You can see why the read noise is higher than the Sony, but there is little banding characteristic
A6000 is measured as 1 stop more DR on DxOMark...you can see why a computer or machine would see it that way. A human who works with the files might however consider it more or less equal considering banding characteristics which the DxOMark machine does not measure. However the A6000 absolutely blows away the 5DMKII which is a sign of progress and portability I say. In addition there is no point to pull this high, so there may be an advantage to the Sony when you pull a bit less, and overall there is less noise, and you did not pull high enough to reveal banding, etc.
It is all about use cases and really there is so many RAW resources available I see no reason why anyone needs to pay attention to DxOMark to the nth degree when they can explore files themselves.
To answer the OPs question...because the 6D in especially difficult conditions should be capable of delivering a greater amount of detail, and the lack of banding characteristic, I would say that not only does it match the greatest APS-C sensors in *practical* dynamic range, it actually beats them if you consider captured detail as the enemy of noise (and often times people will apply NR differently to captured detail than they would backgrounds). And as you can see at the ISO 400 pull, it is going to have some low light advantage coupled with more shallow DOF, etc.
That said the A6000 really does *awesome* for the price and portability itself.