A third opportunity to start scx.service

salve,

a long side scx.service and scx_loader.service is systemd.path possible.
this scx.path will launch scx.servce when the necessary infrastructure is present

[Unit]
Description=starts scx.service
Before=shutdown.target
PartOf=scx.service

[Path]
PathExists=/sys/kernel/sched_ext

[Install]
WantedBy=multi-user.target

Good tip @brikler