Favourites added but aren’t remembered in Archive and Single Product

Hello,
I have come across a bug where items selected as Favourites are not ‘remembered’ as added when refreshing or returning the category/single page view.

You can click Favourite in archive view and then click through to the Single Product page, and it has not ‘remembered’ that it is a favourite either.

This is really not expected bevaiour for the user.

This behaviour is on your demo site. I have linked to a screen recording for your reference.