Nested lists render differently in HTML editor compared to actual final display

To reproduce...
Create a nested list using the HTML editor in a Page resource - it will probably be necessary to switch to the raw HTML view, but something like this...

<ul>
<li>a</li>
<ul>
<li>1<li>
<li>2</li>
</ul>
<li>b</li>
</ul>

The inner list is displayed in the editor with different bullet images. However, when the page is displayed all the bullet types are the same.

It should work consistently - the way the editor has it is the nicest!