diff --git a/lib/class-wp-theme-json-resolver.php b/lib/class-wp-theme-json-resolver.php
index 86c3708b111032..c0e6b1ef548308 100644
--- a/lib/class-wp-theme-json-resolver.php
+++ b/lib/class-wp-theme-json-resolver.php
@@ -422,15 +422,7 @@ public static function register_user_custom_post_type() {
 			'show_ui'      => false,
 			'show_in_rest' => true,
 			'rest_base'    => '__experimental/global-styles',
-			'capabilities' => array(
-				'read'                   => 'edit_theme_options',
-				'create_posts'           => 'edit_theme_options',
-				'edit_posts'             => 'edit_theme_options',
-				'edit_published_posts'   => 'edit_theme_options',
-				'delete_published_posts' => 'edit_theme_options',
-				'edit_others_posts'      => 'edit_theme_options',
-				'delete_others_posts'    => 'edit_theme_options',
-			),
+			'capabilities' => _gutenberg_get_default_capabilities_for_fse_post_types(),
 			'map_meta_cap' => true,
 			'supports'     => array(
 				'title',
diff --git a/lib/full-site-editing/full-site-editing.php b/lib/full-site-editing/full-site-editing.php
index 564332bbf6896f..1c8d0d3158560e 100644
--- a/lib/full-site-editing/full-site-editing.php
+++ b/lib/full-site-editing/full-site-editing.php
@@ -143,3 +143,28 @@ function gutenberg_site_editor_load_block_editor_scripts_and_styles( $is_block_e
 		: $is_block_editor_screen;
 }
 add_filter( 'should_load_block_editor_scripts_and_styles', 'gutenberg_site_editor_load_block_editor_scripts_and_styles' );
+
+/**
+ * Used by wp_template, wp_template_part and wp_global_styles to map post type capabilities to edit_theme_options.
+ *
+ * @access private
+ * @internal
+ *
+ * @return array Default capabilities.
+ */
+function _gutenberg_get_default_capabilities_for_fse_post_types() {
+	return array(
+		'create_posts'           => 'edit_theme_options',
+		'delete_posts'           => 'edit_theme_options',
+		'delete_others_posts'    => 'edit_theme_options',
+		'delete_private_posts'   => 'edit_theme_options',
+		'delete_published_posts' => 'edit_theme_options',
+		'edit_posts'             => 'edit_theme_options',
+		'edit_others_posts'      => 'edit_theme_options',
+		'edit_private_posts'     => 'edit_theme_options',
+		'edit_published_posts'   => 'edit_theme_options',
+		'publish_posts'          => 'edit_theme_options',
+		'read'                   => 'edit_theme_options',
+		'read_private_posts'     => 'edit_theme_options',
+	);
+}
diff --git a/lib/full-site-editing/template-parts.php b/lib/full-site-editing/template-parts.php
index e3e0609a997109..d90172bb16cecc 100644
--- a/lib/full-site-editing/template-parts.php
+++ b/lib/full-site-editing/template-parts.php
@@ -46,6 +46,7 @@ function gutenberg_register_template_part_post_type() {
 		'show_in_rest'          => true,
 		'rest_base'             => 'template-parts',
 		'rest_controller_class' => 'WP_REST_Templates_Controller',
+		'capabilities'          => _gutenberg_get_default_capabilities_for_fse_post_types(),
 		'map_meta_cap'          => true,
 		'supports'              => array(
 			'title',
diff --git a/lib/full-site-editing/templates.php b/lib/full-site-editing/templates.php
index 0ecfcc9a68d8e6..9b155fe2ec3ee7 100644
--- a/lib/full-site-editing/templates.php
+++ b/lib/full-site-editing/templates.php
@@ -65,7 +65,7 @@ function gutenberg_register_template_post_type() {
 		'show_in_rest'          => true,
 		'rest_base'             => 'templates',
 		'rest_controller_class' => 'WP_REST_Templates_Controller',
-		'capability_type'       => array( 'template', 'templates' ),
+		'capabilities'          => _gutenberg_get_default_capabilities_for_fse_post_types(),
 		'map_meta_cap'          => true,
 		'supports'              => array(
 			'title',
@@ -109,32 +109,6 @@ function gutenberg_register_wp_theme_taxonomy() {
 }
 add_action( 'init', 'gutenberg_register_wp_theme_taxonomy' );
 
-/**
- * Filters the capabilities of a user to conditionally grant them capabilities for managing 'wp_template' posts.
- *
- * Any user who can 'edit_theme_options' will have access.
- *
- * @param array $allcaps A user's capabilities.
- * @return array Filtered $allcaps.
- */
-function gutenberg_grant_template_caps( array $allcaps ) {
-	if ( isset( $allcaps['edit_theme_options'] ) ) {
-		$allcaps['edit_templates']             = $allcaps['edit_theme_options'];
-		$allcaps['edit_others_templates']      = $allcaps['edit_theme_options'];
-		$allcaps['edit_published_templates']   = $allcaps['edit_theme_options'];
-		$allcaps['edit_private_templates']     = $allcaps['edit_theme_options'];
-		$allcaps['delete_templates']           = $allcaps['edit_theme_options'];
-		$allcaps['delete_others_templates']    = $allcaps['edit_theme_options'];
-		$allcaps['delete_published_templates'] = $allcaps['edit_theme_options'];
-		$allcaps['delete_private_templates']   = $allcaps['edit_theme_options'];
-		$allcaps['publish_templates']          = $allcaps['edit_theme_options'];
-		$allcaps['read_private_templates']     = $allcaps['edit_theme_options'];
-	}
-
-	return $allcaps;
-}
-add_filter( 'user_has_cap', 'gutenberg_grant_template_caps' );
-
 /**
  * Fixes the label of the 'wp_template' admin menu entry.
  */