Death of Bojack's father

The whole story about how Butterscotch dies sounds a bit over the top to me (died in a gun duel by stumbling on a rock and hitting his head), which got me thinking that Beatrice could have invented this story to hide his real cause of death. What if instead of dying in an unlikely-sounding duel, he died by suicide?

I could find it believable that Beatrice would hide that from Bojack for some reason, can't put my finger on why I feel like that.

Are there any other points in the show that point more towards something like this? What are your thoughts?