You're confusing systemd (the replacement for init) with systemd (the replacement for init, dns, syslog, login/getty, grub, your home directory, etc). Both are

You're confusing systemd (the replacement for init) with systemd (the replacement for init, dns, syslog, login/getty, grub, your home directory, etc). Both are called systemd but one is actually only a single module of the other.