Is there a way to call a method from super of super (the grandparent class)?

I'm writing a module to show stock in more granular ways on the webshop.
So I would like to overwrite _cart_update() in website_sale_stock.sale_order (which inherits website_sale.sale_order), but also call _cart_update() from website_sale.sale_order.

Calling super(SaleOrder, self)._cart_update() in my model will call the method of website_sale_stock.sale_order, which is unnecessary. I do however need to get the return values from _cart_update() from website_sale.sale_order.

Is this at all possible, or do I have to live with Odoo executing some unnecessary code?