Stealing @crqstalite's tags on my post talking about Hex's Backstory because I haven't actually talked about my headcanons for the Emperor's Wrath here. Or more specifically, why Hex's family doesn't give a single fuck about them being Emperor's Wrath (aside from the fact that Hex has more power than them now, making Hex a threat.)
We all know the Emperor's Wrath is viewed as the Emperor's personal assassin. They're supposed to embody the Emperor's Will. That means they're above the politics of the Dark Council, separate from them, and acting on the Emperor's behalf.
Which leads me to ask the question: how does one stay politically neutral in a culture and society built off of personal gain and status climbing?
You might say, the Emperor's Wrath is already at the top of the food chain, they no longer benefit from this. But what does that mean for their family? It can't be a matter of saying "you have insulted me/my family, and I am related to the Emperor's Wrath so you have insulted them and they will get you" because the Emperor's Wrath is above the petty power squabbles now. They are supposed to act on what is best for the Empire, not what is best for themself or their family.
(Hell even when the SW does act on the Empire's behalf - taking out Malgus during The False Emperor - they are scolded by the Emperor's hand for daring to act on behalf of the Emperor when they were not told to. Some of that is because the Emperor is currently in the midst of Evil Plans and being you know, completely absent, but it's still interesting to see.)
We don't really know much about Lord Scourge, the (afaik) first Emperor's Wrath, but we know that he is immortal - a gift granted to him by the Emperor. In game, we aren't told about his family or his bloodline but he is a sith pureblood. Considering how important bloodline is to the Sith Empire, I find it hard to believe that he doesn't have ancestors. Now maybe family is too difficult to discuss for him, considering he probably outlived most of them + felt nothing but I have my own personal headcanon which is...
The Emperor's Wrath exists outside of the Empire's political & social structure - having to eschew family ties.
Becoming a Sith Lord or Darth raises their family's status, but becoming Emperor's Wrath means they must prioritize their Emperor above all else. Becoming Emperor's Wrath will not raise their family's status, it will not serve them. The best way an Emperor's Wrath can serve their family is by carrying on their bloodline. Even if they can't contribute to their family, their children still can. With their duties as Emperor's Wrath, I imagine that it makes more sense to give any children to their family to raise.
Now, as there have only been two Emperor's Wraths, I also think there aren't really any set rules in place for this. When the same guy has been the Wrath for 300 years, you stop thinking about the process of getting a new Emperor's Wrath and what is necessary to be the Emperor's Wrath. The Empire has changed since Scourge became Wrath so there are bound to be some changes. But that's how I imagine the Emperor's Wrath to function in sith society.