session – What happens to mage-cache-storage (local storage) when the browser window is closed?

Magento uses mage-cache-storage (local storage) for local storage of visitor-specific content that enables ecommerce functions. The Expiration policy is session.

Suppose customer is using the website after logging in and went to checkout. Now this local storage object has the customer’s information including the address.

What is going to happen if customer closes the browser window and then never opens the website on the same browser.
Does the browser will have this information and if no then how it is clearing it?

It would be great if someone can points me in the right direction,
thanks in advance