Hey. I have two shipping methods set up in one zone. Flat Rate (admin) and Vendor Shipping. When I add the admin product and the vendor product to the cart, it shows the flat rate admin in the vendor shipping card.
How can I hide the shipping method other than Seller Shipping in the seller summary?
In order to let the vendor add their shipping, you need to enable the Vendor Shipping method for those zones. Hence, like Flat Rate this Vendor Shipping is also a shipping method.
So, as per WooCommerce flow, all the shipping method of a zone will be displayed at checkout. That is why as you have added both Flat Rate and Vendor shipping for that zone, both of them will be displayed at checkout.