What vs whatever

1. It wasn’t fair to take him away from her on account of what her father might have done.
2. It wasn’t fair to take him away from her on account of whatever her father might have done. (Game of Throne)

Hi. Is there any difference between the two sentence? I think the first expresses two uncertainties. The first is if her father did anything at all; the second is what the thing her father might have done is. While the second only expresses she is uncertain what her father did is. The second doesn't express the uncertainty about if her father did anything at all.

Right?

Thank you.