Separate settings for Shop Page and Search Results

Hi there, I'm using the following functions for my Woocommerce Shop Page:

/* ---------- Woocommerce Shop Page - Categories on Columns ---------- */

add_filter( 'option_generate_woocommerce_settings','lh_custom_category_wc_columns' );
function lh_custom_category_wc_columns( $options ) {
    if ( is_shop() ) {
        $options['columns'] = 1;
		$options['product_sorting'] = false;
		$options['product_results_count'] = false;
		$options['products_per_page'] = 6;
    }
    
    return $options;
}

/* ---------- Display Featured Products ---------- */

add_filter( 'woocommerce_product_query_tax_query', 'custom_product_query_tax_query', 10, 2 );
function custom_product_query_tax_query( $tax_query, $query ) {
    if( is_admin() ) return $tax_query;
    if ( is_shop() ) {
        $tax_query[] = array(
            'taxonomy' => 'product_visibility',
            'field'    => 'name',
            'terms'    => 'featured'
        );
    }
	
    return $tax_query;
}

And the following functions for my Search Results (basically I do want them to be in one column layout, and to be Products only, no Posts):

/* ---------- Search Layout (one column) ---------- */

add_filter( 'option_generate_woocommerce_settings','search_custom_wc_columns' );
function search_custom_wc_columns( $options ) {
    if ( is_search() ) {
        $options['columns'] = 1;
		$options['product_sorting'] = true;
		$options['product_results_count'] = true;
		$options['products_per_page'] = 12;
    }
    
    return $options;
}

/* ---------- Search Placeholder (products only) ---------- */

add_filter( 'generate_navigation_search_output', function() {
    printf(
        '<form method="get" class="search-form navigation-search" action="%1$s">
            <input type="search" placeholder="Search by title, genre, instrument, etc." class="search-field" value="%2$s" name="s" title="%3$s" />
			<input type="hidden" name="post_type" value="product" />
        </form>',
        esc_url( home_url( '/' ) ),
        esc_attr( get_search_query() ),
        esc_attr_x( 'Search', 'label', 'generatepress' ) 
    ); 
} );

The problem is that everything I added for the Search Results is ignored, and the functions I'm using for the Shop Page are working instead. Can you help with that? Not sure if this is something related to Generatepress or just Woocommerce.

Thanks in advance!