Yes, except prohibitions, which is more of a generic term including everything than can prohibit someone from becoming a citizen (and includes background, language, test and physical presence).
Seems lime you're one citizenship test away from being scheduled for oath.
I think prohibitions as used - but I'm not certain - refers to the list of others things - like threat to security of Canada / membership in a criminal group (19(2) in the act); 22(1) - persons in prison, on parole, under a probation order (also people charged or under trial or with sentences abroad, etc); war crimes; not authorized to return to Canada; misrepresentations regarding the citizesnhip app (now and in last five years); convictions abroad; 21(4) - treason, terrorism, armed forces/conflict wth Canada. Etc -in that I don't know for certain this is the full list.
These to some degree overlap with criminality, in that some require convictions (in Canada), so a records check would show.
I presume that some of the prohibitions check may just reiterate/check the things before - including the ones you mention. Don't know.
But the big ones are the security ones - threat to Canada, charged with 'like' crimes abroad (that are considered dangerous etc) or potentially under suspicion of., membership of criminal groups - all broad enough that if they get flagged, can take a while. IN some cases, a long while.
For most applicants, there's probably no reason to look into detail and a quick check of other docs (incl PR docs at application time) gets a low level review and quick sign-off.