I would like to use the query block to create something close to the following markup:

<ul>
    <li><a href="{LINK}">{POST TITLE}</a></li>
    <li> ... </li>
</ul>

The issue is not necessarily the query block but the Post Title block renders as a header tag based on the level, or a p tag if the level=0. I would prefer just the title and not the additional markup.

A solution could be to specify the tagname for the Post Title block, passing a level and tagname=h can be the default behavior and it works the same, but an empty tagname could just return the title fragment with no markup.