Filter Search on archive product site dont show password protected products

I’m using the Search Filter element on a WooCommerce Archive template, following the official Bricks tutorial Query Sort, Filter & Live Search – Bricks Academy. I’ve noticed that when I search for a product that is password-protected (using the native WordPress ‘Visibility: Password protected’ setting), it doesn’t show up in the search results.

Interestingly, other filters like the Checkbox Filter do display and filter password-protected products correctly.

Is this the intended behavior for the Search Filter? It seems like the search query automatically excludes password-protected posts, while other filter types do not.

PS.
I also noticed that using the new ‘Search Criteria’ functionality allows password-protected products to be displayed: https://academy.bricksbuilder.io/article/search-criteria/