RQ, Wolf said he heard Withers does it, so that's why you didn't encounter it
Yes, we expect Withers to let us respec our party, but I didn't hear Wolfheart say anything about letting Withers change origin companion starting classes. If that's the only place that's coming from, I suspect it's a misunderstanding, especially as Wolfheart said he didn't have time to find Withers.
Being able to change custom Tav starting class is one thing - it's not something I would ever want to do, but at least this is just changing something we were able to specify in the beginning anyway - but in the build I saw we weren't even able to update origin classes (other than The Dark Urge) at character creation so it sounds bizarre that we could do it later, or for origins as companions.
But if there's another source, I'll take it more seriously?
No he didn't mention companions in the video, sorry for being unclear, but in his pinned comment on the original age restricted video he wrote that he confirmed from two sources that you should be able to respec companions too.