Update: Kotaku's Jason Schreier has now entered the fray with a KOTOR counter-rumor, stating that his understanding is that BioWare Austin "played around" with a new KOTOR prototype, but "it hasn't been greenlit and is not currently in development." He believes that the bulk of the Austin studio is actually working on the company's new IP, which Robertson also touched on in a Patreon post, that's expected to be revealed at E3.
Robertson now thinks that he "misheard some of the Austin stuff," and thus "may have misspoke about it," he told the site. "There’s also the element that I had no notes in front of me and just sort of rambled on from memory. I did not expect these few select statements to blow up (oops). I’m used to having the opportunity to just release follow-up notices on the Patreon with any updates and corrections. My bad there."
"Let me clarify that I don’t think KOTOR’s a current project. From the same people I learned about Dylan from, I did hear that they prototyped a KOTOR revival at Austin a while back. I believe it may have evolved into something else since then or fizzled out since then. I’m still confident Austin is doing something Star Wars related though and I’m confident in that."
That's quite a turnaround from stating unambiguously that "BioWare Austin is working on Knights of the Old Republic...
something," and I should probably emphasize—again—that all of this is entirely unsubstantiated and subject to change, and may even be completely wrong. Such is the nature of rumors.