Why read poetry? Because unlike fiction, creative non-fiction or drama, poetry does not rely on human-to-human interaction. With a few rare exceptions (such as Hemingway's "Big Two-Hearted River"), poetry is about the persona of the poet, the single sensibility, the mindful metaphysic.
In my wallet, I carry around a laminated copy of Wallace Stevens' "The Snow Man." I can think of no other poem that better illustrates this point:
One must have a mind of winter To regard the frost and the boughs Of the pine-trees crusted with snow;
And have been cold a long time To behold the junipers shagged with ice, The spruces rough in the distant glitter
Of the January sun; and not to think Of any misery in the sound of the wind, In the sound of a few leaves,
Which is the sound of the land Full of the same wind That is blowing in the same bare place
For the listener, who listens in the snow, And, nothing himself, beholds Nothing that is not there and the nothing that is.