Does Blizzard care about the console versions?

Try again. That’s Blizzard’s choice; not Sony or Microsoft’s. I’ve already asked Sony about this very thing; developers are the ones who take care of that kind of thing directly, and there’s no control from Sony’s end.

As for Microsoft, they empower the developers to manage their game how they want to.

Feel free to interpret things as you wish; but this argument of “that’s not Blizzard’s decision to make” needs to be put to rest, because that is simply not the case.