I am working on commerce site and we are facing a dilemma that has to do with SEO on product page: if sub-category links should be visible or not in each product page. In detail: We own 8 top categories with lots subcategories in each one and each sub-category owns multiple products. So, my question is: Should the menu of subcategories be visible as they appear in each top category & subcategory or since a product page is supposed to be focused on the product, should the menu be removed?
Checking Amazon, Ebay, Etsy and other big commerce sites, they only use the path (breadcrumbs) and they do not show the other subcategories in product pages.