WPE does not touch WooCommerce in any way. WooCommerce is a plugin that is itself extended through more plugins, including ones for working with payment providers such as Stripe. WPE makes a Stripe payment plugin that works with multiple eCommerce setups, including WooCommerce. WPE's plugin naturally uses WPE's affiliate code.
Matt cannot stand competition, that's all.
Thanks — this makes more sense than the article's phrasing.