I had to manually run install -m 644 rgbobj.1 /usr/local/share/man/man1.
An rgbds-style Makefile could suffice:
.PHONY: install
Q := @
PREFIX := /usr/local
mandir := ${PREFIX}/share/man
MANMODE := 644
install:
$Qcargo install
$Qinstall -m ${MANMODE} rgbobj.1 ${DESTDIR}${mandir}/man1/