I mean… the quote from TFA that they are arguing against is
> As Paul MacLean (1964), originator of the triune-brain theory, stated,
>> man, it appears, has inherited essentially three brains. Frugal Nature in developing her paragon threw nothing away. The oldest of his brains is basically reptilian; the second has been inherited from lower mammals; and the third and newest brain is a late mammalian development which reaches a pinnacle in man and gives him his unique power of symbolic language.
And they quote other textbooks that are making claims along these lines too; this is right at the beginning of TFA. So I think you are wrong that “no one thinks that”.
Of course they don’t think the old brains are 100% static but there are claims that they are largely conserved.