I agree with Rene. The plugin team is ignoring the facts here.
As of about a week ago, custom post types stopped working on sites where it was working previously with no updates other than the most recent Jetpack update.
My site is the same. Confirmed that standard posts publish but custom post types, including WooCommerce products dont work. WooCommerce is a base e-commerce platform for WordPress, a fundamental feature, and its broken.
I know we are not ‘paid’ subscribers to your plugin, but at least provide some honest answers. Something is broken.