Configure mpd to only start a UNIX socket

Running mpd without any bind_to_address in the config starts a working UNIX socket at /run/user/1000/mpd/socket but also starts a network socket at 0.0.0.0:6600 / [::]:6600. I would like to have only the UNIX socket without any network sockets, however, when configuring bind_to_address "/run/user/1000/mpd/socket" it only works if the socket directory is already created (e.g. by starting mpd without any bind_to_address previously). This means it fails after reboot. Also, this method would hardcode the socket address instead of using $XDG_RUNTIME_DIR. Is there a way to make mpd start only a UNIX socket (and ideally read $XDG_RUNTIME_DIR for that) using plain mpd without systemd?