Despite the recent fixes, page titles are still not working properly for the homepage / posts page when a static homepage is chosen.
On a default installation:
a) The homepage displays no title at all. This is because the plugin only checks for either the overridden title, or the title template set on the options page. These are both blank by default, so nothing shows up.
What it should display: (Static page title) - (Website name). This is how every single other page of the site works by default. Title field + title template can then override this if filled out.
b) Posts page just displays just the website name. This makes no sense; when a static homepage / posts page is chosen it is because you have a blog that isn't the center of your website, and you want a Blog page.
What should display: (Title of posts page) - (Website name), unless overridden etc.
In both cases, these can of course be fixed by filling in a custom title in the SEO fields. But it's a pain having to fill these in as special cases every time - both are poor SEO wise with the default installation.