Syncthing can also do this seamlessly, and you don’t need to set up a central server. The devices connect to each other in a mesh

If you’re technical, you might be able to change out the chipset as WiFi+Bluetooth is usually on an M.2 2230 E-key board on most machines. But agreed that it is very annoying and this isn’t feasible for most regular users

One option you have is to import your organized files into Immich through the immich-cli. That will make sure it ends up in the intended file structure.