diff --git a/backport-changelog/7.1/12053.md b/backport-changelog/7.1/12053.md
new file mode 100644
index 00000000000000..0a87da86d9781f
--- /dev/null
+++ b/backport-changelog/7.1/12053.md
@@ -0,0 +1,3 @@
+https://github.com/WordPress/wordpress-develop/pull/12053
+
+* https://github.com/WordPress/gutenberg/pull/78780
diff --git a/lib/block-supports/block-visibility.php b/lib/block-supports/block-visibility.php
index 6bbce6b15cfb15..2bb194bce5a8cb 100644
--- a/lib/block-supports/block-visibility.php
+++ b/lib/block-supports/block-visibility.php
@@ -15,16 +15,24 @@
 function gutenberg_render_block_visibility_support( $block_content, $block ) {
 	$block_type = WP_Block_Type_Registry::get_instance()->get_registered( $block['blockName'] );
 
-	if ( ! $block_type || ! block_has_support( $block_type, 'visibility', true ) ) {
+	if ( ! $block_type ) {
 		return $block_content;
 	}
 
 	$block_visibility = $block['attrs']['metadata']['blockVisibility'] ?? null;
 
+	// Hide the block whenever the value is boolean false, regardless of the
+	// block's current visibility support. This prevents blocks that previously
+	// supported visibility from unintentionally appearing on the front end
+	// after their support was disabled.
 	if ( false === $block_visibility ) {
 		return '';
 	}
 
+	if ( ! block_has_support( $block_type, 'visibility', true ) ) {
+		return $block_content;
+	}
+
 	if ( is_array( $block_visibility ) && ! empty( $block_visibility ) ) {
 		// Get viewport configuration from nested structure.
 		$viewport_config = $block_visibility['viewport'] ?? null;
diff --git a/phpunit/block-supports/block-visibility-test.php b/phpunit/block-supports/block-visibility-test.php
index ad20004a87de90..4f930a8f64a73b 100644
--- a/phpunit/block-supports/block-visibility-test.php
+++ b/phpunit/block-supports/block-visibility-test.php
@@ -93,7 +93,7 @@ public function test_block_visibility_support_hides_block_when_visibility_false(
 		$this->assertSame( '', $result, 'Block content should be empty when blockVisibility is false and support is opted in.' );
 	}
 
-	public function test_block_visibility_support_shows_block_when_support_not_opted_in() {
+	public function test_block_visibility_support_hides_block_when_visibility_false_even_without_support() {
 		$this->register_visibility_block_with_support(
 			'test/visibility-block',
 			array( 'visibility' => false )
@@ -111,7 +111,7 @@ public function test_block_visibility_support_shows_block_when_support_not_opted
 
 		$result = gutenberg_render_block_visibility_support( $block_content, $block );
 
-		$this->assertSame( $block_content, $result, 'Block content should remain unchanged when blockVisibility support is not opted in.' );
+		$this->assertSame( '', $result, 'Block content should be empty when blockVisibility is false, even without visibility support.' );
 	}
 
 	public function test_block_visibility_support_no_visibility_attribute() {