Disable the title, top bar and header on pages and products.

gistfile1.txt

add_action( 'wp', 'tu_disable_cpt_elements' );
function tu_disable_cpt_elements() {
  if ( is_page() || 'product' == get_post_type() ) {
    remove_action( 'generate_before_header', 'generate_top_bar', 5 );
    remove_action( 'generate_header', 'generate_construct_header' );
    add_filter( 'generate_show_title', '__return_false' );
  }
}