diff --git a/core/modules/update/templates/update-version.html.twig b/core/modules/update/templates/update-version.html.twig
index 7479606dcd..decc9df6ec 100644
--- a/core/modules/update/templates/update-version.html.twig
+++ b/core/modules/update/templates/update-version.html.twig
@@ -7,8 +7,6 @@
  * - attributes: HTML attributes suitable for a container element.
  * - title: The title of the project.
  * - core_compatibility_details: Render array of core compatibility details.
- * - show_download_link: A flag indicating whether the download link should be
- *   shown.
  * - version:  A list of data about the latest released version, containing:
  *   - version: The version number.
  *   - date: The date of the release.
@@ -36,7 +34,7 @@
     </div>
     <div class="layout-column layout-column--half">
       <ul class="project-update__version-links">
-        {% if show_download_link %}
+        {% if version.core_compatible is not defined or version.core_compatible %}
           <li class="project-update__download-link">
             <a href="{{ version.download_link }}">{{ 'Download'|t }}</a>
           </li>
diff --git a/core/modules/update/update.report.inc b/core/modules/update/update.report.inc
index c352d4ce8b..53fcb0f619 100644
--- a/core/modules/update/update.report.inc
+++ b/core/modules/update/update.report.inc
@@ -112,9 +112,7 @@ function template_preprocess_update_report(&$variables) {
  */
 function template_preprocess_update_version(array &$variables) {
   $version = $variables['version'];
-  $variables['show_download_link'] = $version['core_compatible'] ?? TRUE;
   $core_compatible = !empty($version['core_compatible']);
-  $core_compatibility_message = $version['core_compatibility_message'] ?? NULL;
   if (empty($version['core_compatibility_message'])) {
     return;
   }
diff --git a/core/themes/claro/templates/admin/update-version.html.twig b/core/themes/claro/templates/admin/update-version.html.twig
index 91c3a29ff0..00fef397bc 100644
--- a/core/themes/claro/templates/admin/update-version.html.twig
+++ b/core/themes/claro/templates/admin/update-version.html.twig
@@ -7,8 +7,6 @@
  * - attributes: HTML attributes suitable for a container element.
  * - title: The title of the project.
  * - core_compatibility_details: Render array of core compatibility details.
- * - show_download_link: A flag indicating whether the download link should be
- *   shown.
  * - version:  A list of data about the latest released version, containing:
  *   - version: The version number.
  *   - date: The date of the release.
@@ -34,7 +32,7 @@
     </div>
     <div class="layout-column layout-column--half">
       <ul class="project-update__version-links">
-        {% if show_download_link %}
+        {% if version.core_compatible is not defined or version.core_compatible %}
           <li class="project-update__download-link">
             <a href="{{ version.download_link }}">{{ 'Download'|t }}</a>
           </li>
diff --git a/core/themes/stable/templates/admin/update-version.html.twig b/core/themes/stable/templates/admin/update-version.html.twig
index e8c3433d5e..4b0389ea60 100644
--- a/core/themes/stable/templates/admin/update-version.html.twig
+++ b/core/themes/stable/templates/admin/update-version.html.twig
@@ -7,8 +7,6 @@
  * - attributes: HTML attributes suitable for a container element.
  * - title: The title of the project.
  * - core_compatibility_details: Render array of core compatibility details.
- * - show_download_link: A flag indicating whether the download link should be
- *   shown.
  * - version:  A list of data about the latest released version, containing:
  *   - version: The version number.
  *   - date: The date of the release.
@@ -34,7 +32,7 @@
     </div>
     <div class="layout-column layout-column--half">
       <ul class="project-update__version-links">
-        {% if show_download_link %}
+        {% if version.core_compatible is not defined or version.core_compatible %}
           <li class="project-update__download-link">
             <a href="{{ version.download_link }}">{{ 'Download'|t }}</a>
           </li>