How to associate a members area with a physical product subscription

I'm wondering how to set up a members-only area that is tied to a physical product subscription.
i.e. if the subscription is active, the customer gets access to the private area, and if not they don't.

I know this is already possible with digital subscription products, but my client is aiming to do it with a physical subscription product instead, where staying subscribed is incentivized by having access to various perks, or content, or whatever is added to the private subscriber's zone (i.e. members area).

If there is a way to do it natively I'd love to know. Alternatively, if any extensions could achieve this I'd love to be introduced to then.