Hi -wouldest-,
I appreciate your patience.
The settings in Theme Settings and Wishlist page are correct.
I deactivated other plugins, except WoodMart Core, WooCommerce plugin and WoodMart parent theme.
But the page still shows as cached https://prnt.sc/JoO-8NjoTj-7
This problem is more likely related to wishlist page caching. Since it does not have a cache plugin, it means that site caching is enabled somewhere in the server settings. So, please contact hosting provider for more details and let me know the results.
Regards,