Simply

Just add the content encoding to body info.

fetch.bs

@@ -3948,39 +3948,6 @@ Content-Type:
 </div>
 </div>
 
-<h3 id=content-encoding>`<code>Content-Encoding</code>` header</h3>
-
-<p>The `<code>Content-Encoding</code>` header is largely defined in HTTP. Its processing model is
-defined here as the model defined in HTTP is not compatible with web content. [[HTTP]]
-
-<div algorithm>
-<p>To <dfn export for="header list" lt="extract an encoding type|extracting an encoding type">
-extract an encoding type</dfn> from a <a for=/>header list</a> <var>headers</var>, run these steps:
-
-<ol>
- <li><p>Let <var>values</var> be the result of
- <a for="header list">getting, decoding, and splitting</a> `<code>Content-Encoding</code>` from
- <var>headers</var>.
-
- <li><p>If <var>values</var> is null, then return null.
-
- <li><p>Let <var>candidateValue</var> be null.
-
- <li>
-  <p><a for=list>For each</a> <var>value</var> of <var>values</var>:
-
-  <ol>
-   <li><p>If <var>candidateValue</var> is null, then set <var>candidateValue</var> to
-   <var>value</var>.
-
-   <li><p>Otherwise, if <var>value</var> is not an <a>ASCII case-insensitive</a> match for
-   <var>candidateValue</var>, return failure.
-  </ol>
-
- <li><p>Return <var>candidateValue</var>, interpreted as a string.
-</ol>
-</div>
-
 <h3 id=x-content-type-options-header>`<code>X-Content-Type-Options</code>` header</h3>
 
 <p>The
@@ -5043,9 +5010,6 @@ steps:
 
      <li><p>Let <var>type</var> be <var>blob</var>'s {{Blob/type}}.
 
-     <li><p>Let <var>contentEncoding</var> be the result of <a for="header list">getting</a>
-     `<code>Content-Encoding</code>` from <var>request</var>'s <a for=request>header list</a>.
-
      <li>
       <p>If <var>request</var>'s <a for=request>header list</a>
       <a for="header list">does not contain</a> `<code>Range</code>`:
@@ -5061,9 +5025,7 @@ steps:
 
        <li><p>Set <var>response</var>'s <a for=response>header list</a> to «
        (`<code>Content-Length</code>`, <var>serializedFullLength</var>),
-       (`<code>Content-Type</code>`, <var>type</var>),
-       (`<code>Content-Encoding</code>`, <var>contentEncoding</var>) ».
-
+       (`<code>Content-Type</code>`, <var>type</var>) ».
       </ol>
 
      <li>
@@ -5132,7 +5094,7 @@ steps:
        <li><p>Set <var>response</var>'s <a for=response>header list</a> to «
        (`<code>Content-Length</code>`, <var>serializedSlicedLength</var>),
        (`<code>Content-Type</code>`, <var>type</var>), (`<code>Content-Range</code>`,
-       <var>contentRange</var>), (`<code>Content-Encoding</code>`, <var>contentEncoding</var>) ».
+       <var>contentRange</var>) ».
       </ol>
 
      <li><p>Return <var>response</var>.
@@ -6359,6 +6321,9 @@ optional boolean <var>forceNewConnection</var> (default false), run these steps:
          <li><p>Let <var>codings</var> be the result of <a>extracting header list values</a> given
          `<code>Content-Encoding</code>` and <var>response</var>'s <a for=response>header list</a>.
 
+         <li><p>Set <var>response</var>'s <a for=response>body info</a>'s
+         <a for="response body info">content encoding</a> to <var>codings</var>.
+
          <li><p>Increase <var>response</var>'s <a for=response>body info</a>'s
          <a for="response body info">encoded size</a> by <var>bytes</var>'s
          <a for="byte sequence">length</a>.