How do you remove product from shopping cart?
If that button is missing for some reason on just a specific product type, then it's more than likely the result of custom form altering in a module file on your site. I'm not aware of any Views configuration that could remove that button just for products of a certain type. Just in case, you can check your shopping cart form View's configuration for the line item delete button to see if any advanced settings are somehow hiding it conditionally.

My hunch is on custom code, though.