Whether you are a lyricist, a composer, a tunesmith, or a performer, you perfect your craft by practicing your craft. Still others, like Neil Diamond, Billy Joel, Bruce Springsteen and others have produced strong lyrics that can make a strong argument for being poetic. Today's Lyracists might find more common ground in the works of Tennyson, Byron, Shelly, Wordsworth, or the other classic romantic poets, although most of the material, by those individuals which has, in fact been set to music, has been considered among their lesser work.
Poetry is intended to make one think.
Both may in fact do either or both but are always centered in their primary purpose, and they never should be confused. Both are Lyrical. Both are about dreams. I doubt you'll have trouble telling one from the other. The white stick man is coming.