It is often said Poetry is chiseled marble of language. It is more about harness your imagination. Yes, Poetry is not about literary accomplishment, but about touching hearts through poetry.
There are people who have wonderful thoughts flowing in their mind but they are not not sound in words. So, literary accomplishment is closely related to it as it give shapes to your thoughts that keep flowing in mind.
Poetry is about expression and connecting with the reader. It's good if it hits them in the heart but I think it's better if it hits them in the head and makes them think about something in a slightly different way. If the reader has no reaction then the poem has failed them.
I agree that poetry should be about touching the hearts of those who read it, poetry to me is a feeling that comes from the inner of ones self, it tells about your feelings or the feelings that others have on you.