Weblio's hits for don't include , which would suggest that this isn't standard.
Google searches for "" and "" also return zero hits, while searches for "" and "" with the unvoiced return relevant sites.
I see that Kashiwazaki is from Iwate, and I believe that this kind of softening or additional voicing is a feature of dialects in the northeast. I lived in Morioka for a while years ago, and was interested to hear such additional voicing among the speakers there, things like being pronounced as , or a kind of interjectionary particle a bit like or , but realized as .
→ This leads me to think that the pronunciation might be an expression of Kashiwazaki's Iwate-ben.