And that's how the entire run has felt, like Chibnall barely made any kind of conscious effort to connect the Thirteenth with any of the previous Doctors (most of all the Twelfth, as I still believe and will always believe that Chibnall just simply never ever watched that run).
There seems to be a bit of a perspective clash between those who see the Doctor as the same person who looks different, and different people who are born in a weird way and "inherit" the Doctor's lifestyle. It was actually something that bothered me about "The End of Time," and it also comes through, here. I wonder if that might be why Capaldi isn't a fan of multi-Doctor stories, the conceit makes it very, very hard to pull off the "same person who looks different" idea.
It's not impossible, I think Moffat did a good job of it in "Day," but of the three revival showrunners, he also seems to be the one most committed to the idea that the Doctor is always the same person, and the differences are superficial, not fundamental (the end of "Deep Breath" when Capaldi is really arguing that he's still Smith, the flashback in "The Witch's Familiar" where the Doctor slips seamlessly between the First, Fourth, and Twelfth versions, the chapter in his novelization of "Day" where he goes through the Doctor's successive recollections of being all three incarnations in a scene, including, inexplicably, how he never got to be the one to deliver the witty line and it was always his past or future self, the Twelfth Doctor talking to himself-as-the-Fourth-Doctor, his flirtations with multi-Doctor stories that just included one incarnation, and so on). Chibnall seems to be way, way over in the other direction, with every Doctor being a totally new person who's a successor to the old one. RTD, it seems, goes back and forth depending on what elicits the most pathos, with the newly-regenerated Tenth and Fourteenth Doctors being acutely aware that their bodies have just warped themselves, while the pre-regeneration Tenth Doctor was extremely self-pitying about how regeneration "feels like dying" while simultaneously referring to his past, "dead" selves as "I" and his current, alive self as "some new man sauntering off."
(So, yes, I did appreciate Moffat retconning that "I don't want to go," and probably all of his dread, was a subconscious memory of learning his next regeneration was the end of the line, and that it wasn't going to be pretty.)