Huh, I don't remember that part of the Tech Manual, but it has been a while since I read it.
Also bigger on the inside tech should exist in the 32nd century, Enterprise showed us that it existed in the 31st.
And there it is... "It's the 32nd century, so let's allow the cavernous interior"
Except: The cavernous "turboshaft" was shown in Season 2 of Discovery as well, while the ship was still in the 23rd Century. Only difference, is that turbolifts were guided on rollercoaster-rails in Season 2.
The "TARDIS tech" shown in 1 episode of Enterprise, was aboard a Shuttlecraft of UNKNOWN origin. There is no indication that it's obviously a Federation craft, other than the pilot being Human. Not all Humans are from Federation worlds, even in the 23rd/24th Century.