My client wants every link list, that is, every list of the form
<ul>
    <li>
        <a href="www.google.com">Here's a link</a>  
    </li>
    <li>
        <a href="www.google.com">Here's a link</a>          
    </li>
    <li>
        <a href="www.google.com">Here's a link</a>          
    </li>
</ul>
to have the bullets of the list be the same color as the linked text, but every non-link list, that is, every list of the form
<ul>
     <li>Here's a regular list item</li>   
     <li>Here's a regular list item</li>
     <li>Here's a regular list item</li>
</ul>
should have its bullets and corresponding text inherit as usual.
Fiddle: http://jsfiddle.net/0kkc2rz4/
I am constrained by not being able to add classes into the HTML, so something like 
<ul class='link-list'>
    <li>
        <a href="www.google.com">Here's a link</a>  
    </li>
    <li>
        <a href="www.google.com">Here's a link</a>          
    </li>
    <li>
        <a href="www.google.com">Here's a link</a>          
    </li>
</ul>
ul.link-list li { color: #004E98; }
is out of the question, although I realize that's the obviously best way to do it if I was coding the site from scratch. I can add JS, but would prefer not to.
Here's a solution using a pseudo element and the unicode character for bullet points. The basic idea is to 'overlap' the a bullet over the li bullet, giving the effect that they are different.
ul{
  margin:0em;
  padding:0em;
  list-style:none;
  padding:20px 20px 0px 20px;
  font-family:sans-serif;
}
li{
  margin:0em;
  padding:0em;
  padding-bottom:10px;
}
a{
  color:red;
  text-decoration:none;
}
a:hover{
  color:green;
}
a, li{
  position:relative;
}
a:before, li:before{
  content:'\2022';
  position:absolute;
  left:-0.5em; 
  color:inherit;
}
<ul>
    <li>
        <a href="www.google.com">Here's a link</a>  
    </li>
    <li>
        <a href="www.google.com">Here's a link</a>          
    </li>
    <li>
        Here's a regular list item       
    </li>
</ul>
Playing a bit with pseudolements: http://jsfiddle.net/2acw2hae/1/
ul { list-style: none; }
ul a { position: relative; }
ul a:before { 
    content : "\25CF"; /* unicode for black circle */
    font-size: 0.75em; 
    margin-right: .5em;
}
/* this overlaps the text-decoration under the bullet */
ul a:after { 
    content : "";
    position: absolute; 
    bottom: 0; left: 0; 
    height:4px; 
    width: .5em; 
    background: #fff; 
}
Result

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