I've got an iMac running Tahoe 26.4.1. I don't use iCloud or Apple Music. I backup/sync my iPhone (15 ProMax v27.2) to the iMac. I have thousands of songs on the iMac, but if I add any songs, I can't get the music library to sync, which means I can't get the new songs onto my iPhone. If I manage to find instructions on how to get the library to sync, it is almost always syncing to the cloud. In the rare instance I find one to sync wired from my iMac to the iPhone, it tells me to go to menu bars or check boxes that don't exist.
I've also run across instructions on importing new music into my music library, but again, they tell me to go to menus or check/uncheck boxes that don't exist. A couple of years ago, I was able to import/index/sync my library onto my iPhone, but that was many OS versions ago.
Am I stuck either backing up and restoring to the iCloud, or paying $$ for Apple Music? I'm not anywhere close to being a proficient user with iOS, btw.