I am so far as I am aware not at all influenced by dramatists, expect for Shakespeare, who I have to say, it is impossible not to be influenced by if you hold language to be the major element of theatre.
Of course a poem is a two-way street. No poem is any good if it doesn't suggest to the reader things from his own mind and recollection that he will read into it, and will add to what the poet has suggested. But I do think poetry readings are very important.