Most Helpful Girl
It's important, but I'm not aware of it. I don't know 9/10 times if they wrote it themselves or someone else wrote it. It's a hassle too look it up all the time. There are artists who write their own songs with their feelings. And there are artists who let a songwriter write their songs.
I don't care as long as I can relate to the song or feel their genuine feelings when they sing it/play it.
Anyways cover songs can be nice, sometimes better than the original. As long as the feelings come true that's what matters to me. Though I have to admit, I prefer it if an artist wrote their own songs. Instead of having someone work for them, while the artists gets all the credit for only singing it.