My direct ABing was rather short and just FYI: I had the DI-V1 with the TCXO upgrade and have the DI-V3 with the TCXO upgrade as well...
At the moment, I can provide a little bit more experience after ca 25 hours with the DI-V3:
1. Many instruments sound more real, eg. saxophone, violin, piano, cymbals... and human voice too. Sound fidelity has improved a lot. Everything sounds better/much better in terms of accuracy.
2. Yes, it sounds like a veil has been removed but not sure about the "little more brightness". This is very tricky to describe: There is an overall increase in detail and fidelity everywhere but not at the cost of a shift to the treble. Bass is still there in a very good volume and I believe that it is extended and more detailed. The same with highs - extended and more detailed. Frequency balance is OK. I think that the overall sound can be perceived as "a little more bright" but this is rather due to the overall accuracy and detail increase and not due to a shift or a change in the frequency response. But my headphone amps are not bass-shy at all and I am unable to estimate possible effects of DI-V3 in different setups. The synergy with the following headphone chains is definitely great:
DI-V3>A-Gd-Ref1>LD MKVIIISe>Senn HD800
DI-V3>A-Gd-Ref1>A-Gd Phoenix>Senn HD800
---> I think that my DAC (A-Gd Ref One) loves better digital input. This turned out in the past and DI-V3 is a great step towards its full potential.
I hope that everything can be understood

... also hope that this will help you... and 'am curious about the experience of others...
One last note: I think that "the brightness" can have some relation to the TCXO upgrade itself. I had this feeling when I upgraded to the TCXO in my DI-V1. But do not take this too seriously, this is rather a speculative opinion based on my unreliable memory from quite distant past.