Wishlist sharing: one link to the Magic cards you still need
Wishlist sharing in Reliquary is one public link to the cards you still need: a deck's missing cards, or your own wantlist of cards for no deck, read against your collection each time the page is opened, so a card you add to your collection leaves the list by itself.
What a link never shows
Your name, your email, the rest of your collection, or which deck shares which copy. A handle never leads to a deck share: those are reached by their own link only.
Making and ending a link
Share from the web app's Publishing page or a deck's Share tab, or ask a connected assistant. Sharing the same list again gives back the same link. Revoking a link ends it at once, and its address stays dead: sharing that list later makes a new one. A free account keeps five links published at once.
Questions
What does the other player do with my link?
Read it in a browser, or, if they use Reliquary, paste it into trade matching: it shows which of your missing cards they could send you. See MTG trade matching.
Is "wishlist" the same as "wantlist"?
Yes. Reliquary calls it a wantlist: the cards a list names that your collection does not cover.
Can a stranger find my lists?
Not by searching. A link cannot be guessed, and a handle must be typed exactly; an unknown handle answers the same as one with nothing published.