This half-solved my problem (on MacOS Big Sur with an up-to-date xQuartz installed). I still had to use the 4th argument of font(), so I have something like this now:
fixed     := font(screen,    roman,   12, 'mononoki-12:Regular'), \
tt        := font(screen,    roman,   12, 'mononoki-12:Regular'), \
boldtt    := font(screen,    bold,    12, 'mononoki-12:Bold'), \
and it looks as intended.