The 65-year-old musician earlier said his two children were "dead" to him, but the "How To Lose a Guy in 10 Days" actress and her "Scream Queens" star brother said they were not surprised as he has been making similar comments towards them "forever," reported Us Weekly Magazine.
"They don't care and are not surprised by this. It's been this way, and he's been saying this stuff, forever," a source said.
According to an insider who is close to the siblings, the pair have had "zero relationship" with their father for several years.
"They weren't surprised at all that Bill spoke out. He's always trying to clear his name and his image."
The public breakdown of the film stars' relationship with their father began earlier in June when Oliver wished his sister a "Happy abandonment day" online on Father's Day, spurring Bill's comments.
"I would ask them to stop using the Hudson name. They are no longer a part of my life. Oliver's Instagram post was a malicious, vicious, premeditated attack. He is dead to me now. As is Kate. I am mourning their loss even though they are still walking this earth," he said.
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