Daylily cultivar names are registered, and even the ones that can look quite similar have different parents and therefore are different plants.
I can't find an Echinopsis cultivar registry, and even the link you have provided on your new plant proposal does not enter the name in single quotes, which usually signifies that it is a cultivar name. The link lists it as "Domino Cactus-Echinopsis Dominos." No species listed, no single quotes enclosing Dominos, and the use of Domino as a common name. You have entered an Echinopsis species (Echinopsis ancistrophora) as the common name and 'Dominos' as the cultivar name, but your link doesn't support your proposal.