The use youtubeDL for music would probably fit the fair use in Finland. The fair use allows personal copies of legally licensed material but not redistribution of said copies to third parties. It has been used to defend a service where ISP records the specific shows from TV like a VCR and streams them to customers at different time. The ISP:s and representation of copyright holders made a compromise to avoid legal battle, where ISP:s limited the storage duration of said recordings to two years. ISP:s still had service they could sell, and avoid unnecessary legal battle.
I'm not a lawyer. So not expert on matter, but just educated local.