diff --git a/source b/source
index 8bb70fa1b86..eca1bc5e400 100644
--- a/source
+++ b/source
@@ -2660,6 +2660,7 @@ a.setAttribute('href', 'https://example.com/'); // change the content attribute
 
     <ul class="brief">
      <li><dfn data-x="concept-host" data-x-href="https://url.spec.whatwg.org/#concept-host">host</dfn></li>
+     <li><dfn data-x-href="https://url.spec.whatwg.org/#host-public-suffix">public suffix</dfn></li>
      <li><dfn data-x="concept-domain" data-x-href="https://url.spec.whatwg.org/#concept-domain">domain</dfn></li>
      <li><dfn data-x-href="https://url.spec.whatwg.org/#concept-ipv4">IPv4 address</dfn></li>
      <li><dfn data-x-href="https://url.spec.whatwg.org/#concept-ipv6">IPv6 address</dfn></li>
@@ -79672,28 +79673,24 @@ interface <dfn>BarProp</dfn> {
    <li><p>If <var>host</var> is failure, then return false.</p></li>
 
    <li>
-    <p>If <var>host</var> is <em>not</em> <span data-x="host equals">equal</span> to
-    <var>originalHost</var>, then run these substeps:</p>
+    <p>If <var>host</var> does not <span data-x="host equals">equal</span> <var>originalHost</var>,
+    then:</p>
 
     <ol>
      <li>
       <p>If <var>host</var> or <var>originalHost</var> is not a <span
       data-x="concept-domain">domain</span>, then return false.</p>
 
-      <p class="note">This is meant to exclude <span data-x="concept-host">hosts</span> that are an
-      <span>IPv4 address</span> or an <span>IPv6 address</span>.</p>
+      <p class="note">This excludes <span data-x="concept-host">hosts</span> that are an <span>IPv4
+      address</span> or an <span>IPv6 address</span>.</p>
      </li>
 
      <li><p>If <var>host</var>, prefixed by a U+002E FULL STOP (.), does not exactly match the end
      of <var>originalHost</var>, then return false.</p></li>
+     <!-- This seems okay, but does pretend hosts are strings which URL does not. -->
 
-     <li>
-      <p>If <var>host</var> matches a suffix in the Public Suffix List, or, if <var>host</var>,
-      prefixed by a U+002E FULL STOP (.), matches the end of a suffix in the Public Suffix List,
-      then return false. <ref spec=PSL></p>
-
-      <p>Suffixes must be compared after applying the <span>host parser</span> algorithm.</p>
-     </li>
+     <li><p>If <var>host</var> <span data-x="host equals">equals</span> <var>host</var>'s
+     <span>public suffix</span>, then return false. <ref spec=URL></p></li>
     </ol>
    </li>
 
@@ -120316,10 +120313,6 @@ INSERT INTERFACES HERE
    <dt id="refsPRESENTATION">[PRESENTATION]</dt>
    <dd><cite><a href="https://w3c.github.io/presentation-api/">Presentation API</a></cite>, M. Foltz, D. Röttsches. W3C.</dd>
 
-   <dt id="refsPSL">[PSL]</dt>
-   <dd><cite><a href="https://publicsuffix.org/">Public Suffix List</a></cite>.
-   Mozilla Foundation.</dd>
-
    <dt id="refsREFERRERPOLICY">[REFERRERPOLICY]</dt>
    <dd><cite><a href="https://w3c.github.io/webappsec-referrer-policy/">Referrer Policy</a></cite>, J. Eisinger, E. Stark. W3C.</dd>