This would be sound logic if existing desktop operating systems had actual good security models.
In the real world, if someone exploits your PDF reader, they don't have to circumvent your OS: your OS hands over everything you can access, by design. One could argue that a better security model baked into the OS would make more sense than a virtualization hack, but the latter has the advantage of actually existing.
I'm confused. The original person I responded to said that no desktop OSes had good security models. On OSX I can write a script that, when run as a user, has access to everything the user has access to. So what exactly are you talking about?
Now instead of one layer with hardware contact, you have two (assuming you want performance too). Twice the attack surface.