Question: After upgrade to Storefront 3.7 the store is displayed as Internal Only.
In the details it shows Remote Access as Enabled and it also works with Netscaler Gateway.

Answer: This is a known issue in Storefront 3.7 and is also mentioned in the edocs.
http://docs.citrix.com/en-us/storefront/3-7/about/known-issues.html
 

StoreFront management console displays Internal Only

When you enable remote access and register a Gateway with a store, the StoreFront management console indicates only internal access, but remote access is also available. [#654561]