Earlier quoted context omitted.
Model as in model organism, like fruit flies in genetics, or mice in biology. Lacking a model organism means we can’t do much in the way of experiments and that means we learn much slower.
They said "we still don't have a fully functional human body model", as if one was pending or expected to be developed already.
My best guess is that there must be some kind of fear, among that field's practitioners, that some stupid politicians (gah, redundancy!) would take one look at the project and throw a hissy fit or worse.