Pro Tip: Please remember that Instagram doesn’t allow links in posts like Facebook or other social networks. As such, always be sure to include your website link in your Instagram profile. This way people can watch the full videos from your website.
This is actually an issue with Facebook, not the videos. Both LinkedIn and Twitter allow the videos to be played inline.
However, in order to autoplay inline on Facebook one must actually upload the video directly to Facebook.
Unfortunately, we don’t have any hard video files to actually “download” from our servers or upload to Facebook. The videos are configured and generated on our host’s servers (Wistia) to give us the ability to manage them and make modifications over time.
Here is the Wistia help doc that explains it in technical terms: