Man page for service is inaccurate since systemd introduction

The service command man page states that OPTIONS are passed unmodified to the init script.
Since the introduction of systemd, service uses a call to systemctl for all basic commands and only uses sysvinit for custom commands. Since systemctl does not allow arguments to be passed to the init script, the man page wrongfully states that arguments are also passed when using basic commands (start, stop, reload...)

Should the man page be corrected to reflect this behavior or should the service command be modified so it will call sysvinit when arguments are passed?