*MANGA SPOILERS AHEAD*
Away from the shipping angle, I believe Damian and Melinda like Anya and Yor because they see two people who are free to be themselves.
Yes, this is ironic given the Forgers are theoretically a 'fake' family and Yor and Twilight seem to suffer bouts of imposter syndrome every now and then.
But what Damian and Melinda see in the Forgers is also very much real. Neither Anya or Yor entirely have filters on. And neither care that Damian and Melinda are Desmonds and that they need to be deferential to. Nope. Anya and Yor are allowed to be who they are, while Damian and Melinda are constrained in their lives by who they are.
























