Vegans don’t eat meat. But that doesn’t mean they want to see an end to domestication

They're against animal suffering. They don't JUST not eat meat. They don't wear leather, wool, drink milk, consume any kind of dairy, wear silk. They don't use ANY animal products at all if and where they can. They don't even eat honey.

You're thinking of vegetarians and plant-based.

As a result, vegans consider domestication to be a way of perpetuating suffering. Neutering a pet is suffering because it occurs without consent. Breeding a dog is suffering, selling the pups from the mother is suffering. Taking a calf from a cow is suffering. They are against all defined forms of suffering. Physical, emotional, mental, all of them.

They don't wear silk because they don't think the way silkworms are treated is right.

They are against people buying or breeding pets and believe that all pets should be adopted until there are none left. This has the nice initial reasoning of "Find homes for the ones that already need them instead of breeding more", but after that they feel that no more should ever be bred. Resulting in the extinction of domestic dogs and cats. It's the vegan fine print, they don't want to take your pets away but they don't want any more to be born either.