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Disavowing the shopify site would not do anything, as disavow is used to indicate that you do not wish to receive credit for a backlink from a domain, and that you have made sufficient effort to have any links removed. I understand the question to be more along the lines of ... "How do we leverage the social integrations of Shopify without creating duplicate content problems with our existing ecommerce site?" If you will be maintaining a mirrored database of products, etc.. the "easiest" way would be to map all of your pages on the shopify site to corresponding pages on your current ecom site, and utilize the rel=canonical link on the shopify site pointing to your current ecom site.  This essentially tells Google that the page and all its value/credit/etc.. should be directed to your current ecommerce site. E.g.   The page:  shopifysite.com/product/a  would have a canonical tag: If you find that you do not actually need the shopify pages to be accessible to use the tools to display within the social storefronts... meaning that someone clicks on the link in your pinterest store and does not need to go directly to shopify, you could consider set-up 301 redirects vs. using the canonical tag for each of the product pages, etc.. Hope this helps!

It does get counted. You might even see the bit.ly link show. Bots can crawl and follow these shorteners.