I wish there was a bit more thought put into why the TARDIS interior changed the way it does.

Agreed. This time felt completely random.

It would have been more of a thematic triumph had it evoked the Nobles more directly somehow.

Yeah. I thought the same. As loose as Doctor Who's story beats often are, it felt silly that the story didn't take a quick detour to blow up the console real quick.

It felt a bit too clinical for this Doctor

That's a great point. In the Pertwee/Baker era, that TARDIS interior helped underscore how the Doctor felt like a prisoner of Unit.

Now, as you said, hopefully it's about a blank slate. I'm excited for the possibilities for growth for a version of the Doctor who habitually shares their feelings and sometimes admits to not knowing something!