Content Blocker Extensions with Progressive Web Apps

On iOS and iPadOS, there are settings in Safari to explicitly allow/disallow Content Blocker Extensions in Private Browsing. But no setting for how Content Blocker Extensions apply to Progressive Web Apps. Do content blockers extensions apply to Progressive Web Apps? I did some simple testing and this is not clear to me.

If so, how could an Extension’s access to a PWA be controlled? For example, is the Content Blockers on/off setting persisted from the browser when one adds a new PWA to Home?