Based on the article you linked, it seems you are interested in finding the best way to prototype.
You've got a couple of choices here and it's something worth following as there are constantly new tools being developed to help with the prototyping stage.
I agree that though the gifs could be created in Premier, it's not the ideal option as there are more efficient ways to accomplish this.
From my experience, the Invision app is the common solution. It can be coupled with your Photoshop or Sketch files to enable prototyping. If Sketch is your preferred tool just this week Invision has announced prototyping within Sketch which you may find useful.
That said, Adobe XD is now available on both Windows and Mac for free download (it's in a powerful Beta state (detailed here by their Director for Engineering, Vincent Hardy) and is updated monthly). This will give you the opportunity, to build, prototype and provide the relevant specs for your designs all in one spot.
Hope this helps!