I think I would say I actually like the artist/band full stop. That is because, even if I were to listen further and dislike the other material, the artist/band still touched something within me and the lyrics were relatable and made me feel I wasn't alone and were sort of comforting, and had the ability to take me to, perhaps, another time and place/move me.
I don't think you need to like every song an artist/band creates, as they touch different people at different times, depending on what they've been through and are currently going through, so it's understandable. It also just simply down to personal preference, but the fact you enjoyed even one, suggests you like them, to me. Because, they had the ability through that one particular song, to get you to feel better/enjoy it. They have clearly demonstrated they are able to have that effect on you. And, later on, more songs may come out that appeal.
That's a question I've thought of quickly, in passing, but never gone into detail with. Good question, thank you.