/usr/share/ltsp/init-ltsp.d/ is in ltsp-client-core 5.3.7-0ubuntu2.
This file is owned by root:root, with mode 0o755.
..
/usr/share/ltsp/init-ltsp.d/01-clean-cache
/usr/share/ltsp/init-ltsp.d/02-initramfs-env
/usr/share/ltsp/init-ltsp.d/03-kernel-cmdline
/usr/share/ltsp/init-ltsp.d/04-server
/usr/share/ltsp/init-ltsp.d/05-getltsconffile
/usr/share/ltsp/init-ltsp.d/06-ltsp-init-common
/usr/share/ltsp/init-ltsp.d/09-hostname
/usr/share/ltsp/init-ltsp.d/10-resolv-conf
/usr/share/ltsp/init-ltsp.d/20-modules
/usr/share/ltsp/init-ltsp.d/50-client-mac
/usr/share/ltsp/init-ltsp.d/50-cron
/usr/share/ltsp/init-ltsp.d/50-default-display-manager
/usr/share/ltsp/init-ltsp.d/50-disable-cronjobs
/usr/share/ltsp/init-ltsp.d/50-fstab
/usr/share/ltsp/init-ltsp.d/50-gsettings-overrides
/usr/share/ltsp/init-ltsp.d/50-interfaces
/usr/share/ltsp/init-ltsp.d/50-jetpipe
/usr/share/ltsp/init-ltsp.d/50-keyboard
/usr/share/ltsp/init-ltsp.d/50-mtab
/usr/share/ltsp/init-ltsp.d/50-rcfiles
/usr/share/ltsp/init-ltsp.d/50-rm-session-services
/usr/share/ltsp/init-ltsp.d/50-rm-system-services
/usr/share/ltsp/init-ltsp.d/50-saned
/usr/share/ltsp/init-ltsp.d/50-sendsigs
/usr/share/ltsp/init-ltsp.d/50-set-time
/usr/share/ltsp/init-ltsp.d/50-swap
/usr/share/ltsp/init-ltsp.d/50-syslog
/usr/share/ltsp/init-ltsp.d/50-update-motd