The only thing is that Hartnell's Doctor apparently doesn't remember any of that. He may have had a subconscious inclination to call himself "the Doctor," but everything else--including everything before his childhood--was seemingly wiped from his memory. He was born/reborn with a clean slate and no recollection of anything prior.
But that couldn't have been the motivation for Hartnell's Doctor onwards though. There was no memory of any trauma, and so no need for vengeance either.
There was no conscious memory. The costume, Tardis, and characterisation of Chef!Doctor was *so* Doctorish (more so than Jodie the incumbent) and it is then essentially being written as ‘and this is why The Doctor is The Doctor’.
Not even going to go into the odd mockery that is Chef!Doctor being hunted down, whilst at no point is Hartnell/Troughton shown being chased with anywhere *near* as much effort. The Master gets a likely CIA chap letting the Doctor know — and is that a different Agency?
Guess I went into it a little.
For someone who hung his hat on Morbius, Chibnall seemed to barely have even a cursory knowledge of the rest of the show — this isn’t deep magic carved into a stone table, this is stuff kids younger than him would be reading about munching their Golden Wonder in the seventies and eighties.
Fundamentally, the TC seems to have been designed to re-write a traditionally White British Male character (whose characterisation is in some ways a critique of Post-Empire Britain, represented by Gallifrey) as originally being an oppressed, exploited, Black Female character. (None of those pre-doctors have a voice, literally) Which is… kind of distasteful.
It was also a radical shake up, for the sake of a radical shake up, which is something RTD *thinks* he is doing, but really he’s just undermined things. Like having the first Black British Actor to portray the role be sexualised and undermined in his first appearance. Like making sure his other favourite boy Tennant is the Once And Future King.
There’s a disconnect in how these writers are working from the material they are working on — and I feel it comes from perhaps understanding other forms of TV better. Soaps, for instance, where this shit is pulled consistently.