If the Featured Buttons is going to allow many and you want to select which one to appear on any page, I would personally create a custom post type to hold them. Then on each page use a relationship field to allow the selection of as many or as few as are needed for the page. (I’d call them “Call to Action”)
With a repeater on every page where they need to be created you’ll be recreating the same buttons over and over again.
It would be difficult to create an options page and then select the ones you want to display on any page from the list created on the options page.
