Non-emotional vs unemotional

Hi. What is best here – non-emotional or unemotional? Or a third option?

He had just lost his dad, so you would think he would be sad, but he talked about him in a non-emotional way, which I found disturbing. But it was probably just to protect himself.

He had just lost his dad, so you would think he would be sad, but he talked about him in an unemotional way, which I found disturbing. But it was probably just to protect himself.