Hyper cards do not show "Copy to Clipboard” feature when displayed on HTTP pages, while HTTPS sites display the icon correctly.
HTTP page not displaying the icon:

HTTPS page showing the icon correctly:

The Hyper extension only supports the copy feature on HTTPS websites by design which is why the copy button is visible on the card on HTTPS website.
The reason for this is that Strategy HyperIntelligence uses the Clipboard API to implement the copy operation and it is only supported in secure contexts (HTTPS).
Migrating the HTTP portal to a HTTPS domain will allow to take advantage of the copy feature.