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Littleus is correct. When you add a Subscribe the this Blog to your site it is set up so that when you post a new blog post, the people who have signed up with be notified. When you created the link "Subscribe the this blog via email" that does not automatically connect to your blog.
The idea behind an RSS feed and why it is attractive to people (people are signing up the your RSS feed when they click on the Subscribe to this Blog widget integrated into the blog feature) is that users don't have to give their email; and many people don't want to give out their email address.
An option would be to have your opt in list of people who have subscribed to your Blog via email and you can manually send them your blog updates; and then also have the automatic updates for those that have subscribed to your RSS feed via the specific widget.