Most search engines are not be able to search secure pages. It's also for your business and your customer safety that no secured web pages should be store out somewhere. It should store the transaction info only during the transaction. After, it should store in secured database.
For the purpose of SEO, you want search engines search and being able to read and store your content, which doesn't contain and personal sensitive data. The more content you let search engines to search and read with, the high search engine ranking you could attain with.
In summary, only the ecommerce payment portion should be secured. The product portion please make sure using regular http page and do SEO work to have a better SEO rank.