It would not in the least surprise me if they were Twites. The whole family definitely seems to share some Twite DNA.

I just kept getting flashbacks! Including the shock downer deaths quotient!

One has to imagine that even the doctor is quite bummed given that he proposed to Lucy in the second-to-last chapter!!

This is really sounding like the kind of book that can only be enjoyed ironically, which saddens me as that is not a way I am particularly good at enjoying books.