As far as I know he could still speak, it was just painful and difficult. In full blown dark side mode as he was in that duel perhaps he could get out those words.
Because it was the Anakin side who side Ahsoka and to the show her that he has fully changed and became who he is. Plus I thought it was neat merging Matt and James's voice together
The scorched vocal cords thing is a bit sus to me. I mean he yells at Obi-wan after being burned on the lava beach. Haven’t we all seen the memes? And then he’s groaning like Frankenstein throughout his Darth Vader conversion procedure. That’s all vocal cords…
^^ I wouldn't say his "Anakin side," but instead say how it was most likely meant to represent how despite everything he's done as Darth Vader, he's still a human being, manipulated by the dark side.