Currently, Connect will ask if you'd like to open a clicked URL. You only have yes or no options.

Adding a copy URL button would prevent having to view the page in order to access the copy URL option from there.

Adding the standard share button isn't as useful to me since I'm only trying to share URLs to friends. But I noticed the lack of this when I'd backed out of a page and figured I'd share it. But ended up having to view it again just to do so.