Want some privacy?/Want to be alone?/Want a few minutes to yourself?

A guy and a friend are at a cemetery. They arrive at the guy's mother's grave. The mother has recently passed away. The friend had expected tears from the guy. But the guy is just staring impassively at the headstone. The friend asks:

You want some privacy? / You want to be alone? / You want a few minutes to yourself?

The guy nods, and the friend walks away.

Would all three options be perfectly natural for this context?