If you said “I’m gonna be the cause of you being next”, that’s a threat. “You’re next” is not a threat. Also, next to what? Any good lawyer is gonna have a field day with this.

Unless there was an actual threat (I’m lazy I can’t be bothered to read the article. That’s why I’m in the comments) , deny delay depose isn’t a threat in any way. It’s a tactic that insurance agents use to boost profits. Saying that is merely showing your disgust with the practice.