Let me give you an example. The only A. dressleri genes left in Florida are in a couple of hybrids made by Harry Luther years ago. These hybrids still provide a source of genes for a velvet leaf surface and compact growth. The plant collector looks at the beauty of the plant. But, this is only the first step.
Asexual propagation is nice but so slow and limited.
Setting seed is always the best strategy. Anthuriums pose a problem in seed production. The female flowers are ready for pollen before the pollen is produced on that inflorescence. A clever way to prevent self-pollination but a real problem to the breeder. Pollen can be saved on aluminum foil at room temperature.