I must confess that we have never used Jetpack or any of its features.

Nonetheless, I can share that when it comes to sharing our Posts and Products, we do it automatically using Zapier connected to both WordPress/WooCommerce and share those when updated or newly published on our network (we run a multisite SaaS setup).

Currently, using this method, we publish to Facebook Page, LinkedIn Company Page, Twitter, and Pinterest, but we are also working to share automatically to Instagram.

Everything published or updated also triggers a notice on assigned Slack channels for our staff to be in the loop.

Regarding visitors sharing our content, we use Novashare, which allows them to share, as well as us, to track such shares. It is incredibly lightweight and powerful.