/* 
The image referenced here is the SVG provided above, with base 64 encoding. It is the
freshly exported version that still has a defined width and height of 8px and 14px.
You may wish to just save the SVG above locally.
*/

ul {
  list-style-image: url('data:image/svg+xml;base64,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');
  /* Or if you wish to save the SVG locally:
  list-style-image: url('chevron.svg');
  */
}

.small-list {
   font-size: 85%;
}

.large-list {
  font-size: 150%;
}

<ul class="small-list">
  <li>The goal is to make the chevron smaller for this list</li>
  <li>Specifically, just slightly smaller than capital letters, as stated.</li>
  <li>Nomas matas</li>
  <li>Roris dedit</li>
</ul>

<ul class="large-list">
  <li>And larger for this list</li>
  <li>Nomas matas</li>
  <li>Roris dedit</li>
</ul>

ul {
    list-style: none;
}

li {
    position: relative;
}

li:before {
    /*
    The desired width gets defined in two places: The element width, and background size.
    The height only gets defined once, in background size.
    */
    position: absolute;
    display: block;
    content: '\2022'; /* bullet point, for screen readers */
    text-indent: -999999px; /* move the bullet point out of sight */
    left: -.75em;
    width: .4em; /* desired width of the image */
    height: 1em; /* unrelated to image height; this is so it gets snipped */
    background-repeat: no-repeat;
    background-image: url('data:image/svg+xml;base64,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');
    background-size: .4em .7em;
    background-position: 0 .3em;
}

.small-list {
    font-size: 85%;
}

.large-list {
    font-size: 150%;
}

<ul class="small-list">
  <li>The goal is to make the chevron smaller for this list</li>
  <li>Specifically, just slightly smaller than capital letters, as stated.</li>
  <li>Nomas matas</li>
  <li>Roris dedit</li>
</ul>
    
<ul class="large-list">
  <li>And larger for this list</li>
  <li>Multiline list item<br>for testing</li>
  <li>Nomas matas</li>
  <li>Roris dedit</li>
</ul>