I don't think Japan dislikes DOOM; on the contrary, I've heard it's actually got a cult following there, more so than any other shooter, anyway.
On the topic of the Zenimax buyout, I wouldn't worry too much about exclusivity. Microsoft is going all in on game sales as opposed to consoles sales right now, as Phil Spencer
recently said. More likely is that the likes of Elder Scrolls, Fallout and Doom still come out on Playstation, but now MS will profit from each copy sold. If this sounds familiar, it's because it's exactly what they've done with Minecraft - it's a big source of profit for them, but everyone still gets to play it. Until otherwise states, I would frankly assume that all those IP will still appear on other platforms.