I'm a poet, and yes, I want people to read my poetry, but I don't use Twitter as a means to shove my writing down people's throats and clog their stream of otherwise meaningful and productive conversations. Twitter, and other social networks for that matter, are about building a "network," communicating, and making connections with others who share your passions.
I read lots of things from my Twitter stream from people who I've connected with, who offer me valuable or positive information, and who I've taken a genuine interest in. Make friends then share poetry, and not always just your own.
Sorry for the rant today. I will end by sharing a few lines from Wendell Berry's "How to be a Poet:"
make a poem that does not disturb
the silence from which it came.