Here is my two cents:
I think it varies between genre. If it is some rock number, lyrics isn't probably worth that much. Sometimes, that can be true with general pop songs that have attention-grabbing music to them. But if the lyrics are to your taste, there is just extra points. If, for example, you listen to gospel or Christian music, then I believe (or at least hope) that you will try to find songs that have meaningful lyrics. With genres like rap, techno, dance, lyrics isn't all that important (that is considering what typical lyrics goes into a rap song).
Generally, I find that songs with good lyrics tend to be remembered more often than those without them.