OK, lol. This is simply NOT true. Of course you are never going to make any money off of poetry...unless you become a well-known tenured professor, and then it is salary...not money off the poetry itself.
There are all kinds of publishers. "Important?" You mean like Bantam Books or something? Because, again, you are not going to make money off of poetry. There are important and well-known publishers to poets, however. Look at Poets & Writers magazine, for starters.
And we have actually seen a great flowering of poetry and people who want to write poetry since the late 80's and the creation of the first MFA programs in writing at universities. Now almost every college has a program. Also, the internet has made it possible so that people can easily publish their work...I'd wager there is more of an audience for poetry than there ever has been in history.
There are even publications that cater to metered and rhymed poetry--but no, that's not considered 'modern,' however, if that's what you like, OK. There is an audience for it. There is even an audience for people who only want to write sonnets, .