Hi,
I don't see the issue on your link.
The first page of the checkout does have the hikashop_cart_product_total_value class in the cart view.
However, I suppose that you're actually talking about the cart details page, which isn't a checkout page. And there, there is no hikashop_cart_product_total_value class in the cart table.
So if you don't want that, then you probably want to edit the menu item you're using to access the cart details page and instead use the type "HikaShop checkout". Then, you can just change the "checkout" workflow" in the HikaShop configuration to have the cart view in the first step, on its own so you'll get a similar look as the cart details page.