Restarting syslog causes it to no longer listen on domain socket

Standard syslog setup on Mavericks.

1. Before stopping and starting syslog:

$ lsof | grep syslog

launchd 1 root 6u unix 0xec11da089f2493d9 0t0 /private//var/run/syslog

syslogd 16 root cwd DIR 1,4 1156 2 /

syslogd 16 root txt REG 1,4 130176 3240731 /usr/sbin/syslogd

syslogd 16 root txt REG 1,4 622896 3239781 /usr/lib/dyld ...

2. Then stop and start syslog:

$ launchctl unload /System/Library/LaunchDaemons/com.apple.syslogd.plist; sleep 1; launchctl load /System/Library/LaunchDaemons/com.apple.syslogd.plist

3. Now, syslog no longer listens to /var/run/syslog:

$ lsof | grep syslog

syslogd 716 root cwd DIR 1,4 1156 2 /

syslogd 716 root txt REG 1,4 130176 3240731 /usr/sbin/syslogd

syslogd 716 root txt REG 1,4 622896 3239781 /usr/lib/dyld ...

4. Reboot machine, and syslog is back to listening on /var/run/syslog domain socket is back. Why would this happen?