Products labeled "Hidden" showing up in Search and Shop results

[ryansmiller]

I'm using Algolia with WooCommerce. One of the native taxonomies with WooCommerce is "product_visibility" which equates to how a product should show up within WooCommerce. The four choices are Visible, Search Only, Shop Only, or Hidden. I'm expecting products that are marked "hidden" would not be showing up in autocomplete and instant search results.

Unfortunately this isn't happening natively. If I could figure out how to setup a filter I would do that for this taxonomy, but again, not sure if that's even possible.