Unfortunately, by using a button you can't right click to copy the URL or open in a new tab/window. Middle clicking doesn't work either, although that could be fixed with JS. The URL also doesn't show up in the bottom left when hovering.
Edit: One thing you could do if you don't mind making your site JS-only is intercept link clicks and trigger a form POST instead, so the links are all normal links that respect default browser behavior, but the requests are all made as POSTs. Though honestly it's a losing battle, trying to stop bots; I've largely given up. You also have to consider what happens when someone shares the URL or bookmarks it, or tried to reload the page.