apply_filters ( 'jetpack_media_summary_output', array $data, int $post_id )

Notes

In the example below, we’ll force Jetpack to return a “Video” type as soon as there is a video in the post, and even if there is a lot of text as well.

/**
 * Overwrite the type of post returned by Jetpack for Video posts.
 *
 * By default, Jetpack will consider a post a "Video" post
 * if it has less than 3 paragraphs of text
 * and of course an embedded video.
 * Let's change that. As long as there is a video, it's a video type.
 *
 * @param array $data    The calculated media summary data.
 * @param int   $post_id The id of the post this data applies to.
 */
function jeherve_custom_video_type( $data, $post_id ) {
	// Is there at least one video in the post?
	if ( 0 != $data['count']['video'] && ! empty( $data['video'] ) ) {
		// Let's make the post type "video".
		$data['type'] = 'video';
	}

	return $data;
}
add_filter( 'jetpack_media_summary_output', 'jeherve_custom_video_type', 10, 2 );