Nor do those same people want to watch a movie or a TV show on their computer.
Those people request DVDs.
I don't see the issue with keeping everything under one brand.
Netflix became popular because of their DVD-in-the-mail service. It's a shame to spin that off into a sub-par seeming brand. Just keep it all under one house but emphasize the streaming service.
It's not like they can't design their one site to give users an option on what they want (streaming or DVD-in-the-mail).
Keep it simple, stupid.
If they are doing this because of the economics of the DVD and streaming service, then nevermind.