I can help you by creating an app for you. Please let me know if you want to go for that.
if you could share your requirements in detail we should be able to create a private app that would enable you to achieve what you are looking for, it seems that you are looking at an app that would allow your affiliates to use the wishlist using their affiliate link.
Look forward to your response.
Nick here from Shopify. Great question and idea!
There is a wide variety of app options in both the wishlist and affiliate categories in the Shopify App Store. I had a look through some of the highest rated apps and from the app description, it didn't seem like any affiliate option was built into them. The closest one I see with anything close is the Reviews, Loyalty, Wishlist app where they mention about "encouraging users to share your brand on social media and email." Some of the other top wishlist apps can be seen below:
There are also some good affiliate apps in the app store and I'm wondering if you look into both sets of categories that they can work together to enable your affiliates links for the wishlists to achieve your desired outcome. I took a look and found some of the highest rated affiliate apps which you can see below:
If the two apps together can't do what you're looking for, it might be worth reaching out to a Shopify Expert directly to see if something custom could be built for you on this.
Hopefully, a mix of the apps will work for you here.
All the best, Nick