Ezine publishing can ,and has, made lots of people rich. Ezine publishing is just another term for email marketing. Email marketing is nothing more than building a targeted mailing list of subscribers who can't get enough of a particular topic.
You are likely already a member of several lists that are related to something you are interested...a sport, a hobby, or some other interest that you find yourself searching all over the net looking for information on.
The secret to making money with an Ezine is to pick a subject you are passionate about, so that you don't get bored.
Put up a website with an autoresponder that collects the name and email address of your visitor's, start advertising all over the Internet on sites like http://www.adwido.com.
Then give your subscribers what they what...content about the subject you are passionate about, which of course will be monetized with products or and services products related to the subject. The products can be your own or an affiliate product.