So what I want is for external links to just go to my clipboard! Then I can decide what to do with the URL. But, with Choosy and Shareful I can do so much more. I can copy the URL to my clipboard (just like I wanted) and I can also send that URL to other apps like Messages, Mail, Notes, and more!
Note, I updated my Rule in Choosy to this (which is a bit different than the video):