There is a video, and it doesn't use Flash.
Here is a direct link: http://videos.tout.com/dry/mp4/310c91f4d4e390d2.mp4
For some reason, it just works in Chrome, but needs Flash in Firefox. (I have Flash blocked in Chrome and Firefox.) Mozilla has declined since Brendan Eich's forced departure.
You can resort to the command line, and just play the download with whatever you've got:
$ wget -O pence.mp4 http://videos.tout.com/dry/mp4/310c91f4d4e390d2.mp4 --2016-08-04 04:16:34-- http://videos.tout.com/dry/mp4/310c91f4d4e390d2.mp4 Resolving videos.tout.com... 23.67.244.137, 23.67.244.136 Connecting to videos.tout.com|23.67.244.137|:80... connected. HTTP request sent, awaiting response... 200 OK Length: 16114406 (15M) [video/mp4] Saving to: ‘pence.mp4’ 100%[==============================================================================>] 16,114,406 5.91MB/s in 2.6s 2016-08-04 04:16:36 (5.91 MB/s) - ‘pence.mp4’ saved [16114406/16114406] $ open -a VLC pence.mp4
The download plays just fine in VLC or QuickTime, no Flash needed.
The odd thing is, if I try to play the direct URL in Firefox, it fails. But if I play the download of the direct URL, it works just fine.
Chalk it up to webmaster incompetence. Probably a wrong Content-Type header.