Consider this:
wiz.res("a911", 1.05, unit=r"\mm\s\per\N\kg").print()
will print:
aNineHundredEleven = 1.1 mm s/N kg
The unit representation might be misleading. Instead, I'd expect something like (mm s)/(N kg). This is also what siunitx is doing when users specify per-mode=symbol in the \sisetup{}.
Edit: My assumptions how siunitx parses the input were wrong in this issue. See the discussion below for how it looks like in reality, i.e. in this example, we'd expect (mm s kg) / N.