Is Dylan poetry?

Ah, the old "is Dylan really poetry" chestnut again. I'm not sure what to make of Andrew Motion's comment. Surely all song lyrics depend for their effect on the music, otherwise the songwriter would just call them poems in the first place?
On the other hand, he raises two other interesting points. One is whether or not Dylan is considered cool or relevant enough by today's schoolkids to encourage them to read poetry. My suspicion is that for most, he isn't. The second is the whole question of getting kids into poetry by a 'backdoor' route. It makes me a little uneasy, and I find myself thinking that wouldn't it just be better to expose them to plenty of good poetry, well taught. Even when I was at school (mid-80s), the amount of poetry covered in the curriculum seemed to be very small. At O Level, we did a few World War One poems (Owen and Sassoon), a few Ted Hughes poems (I remember Wind being one of them, and the one that starts "The swallow of summer..."), and that was pretty much it. We did do a Shakespeare play, and Under Milk Wood, but very little actual poetry, and I don't ever remember being particularly inspired by it. A Level was better (and very well taught) - Prufrock and Portrait of a Lady by Eliot, Heaney's Selected Poems, and The Whitsun Weddings, but I think it's fair to assume that anyone who's taking English A Level already has some degree of interest in poetry, and literature in general.
On the other hand, I suppose it can't do any harm!
But back to whether lyrics stand as poetry. My own feeling is that they very rarely do, no matter how good they are as lyrics. I love Richard Thompson's songs, for example, but even though I often think about individual lines that they would work in a poem, I generally think that the overall effect depends entirely on the interplay of words, music, voice and instrumentation.
On Radio Five this morning, discussing this story, their objection was that Dylan's songs depended very much on his delivery of them. I'm not sure that's valid, because there are plenty of good cover versions of his songs. I used to have a double album of them, some quite obscure. Two favourites were Farewell Angelina, by New Riders of the Purple Sage (a Grateful Dead offshoot), and Mama You Been On My Mind, by Rod Stewart (in his early days, of course). And of course, there was Jason and the Scorchers' fabulous blast through Absolutely Sweet Marie, sounding a bit like The Ramones would have done had they grown up in Appalachia. Anyone got any favourite Dylan covers?