If psychotherapists "screw up" their children any more than anybody else, I haven't seen the data. (My own kids, BTW, are perfect.) Biggest issue with parenting these days? Trying to be friends with the young. They can be pals when they grow up and achieve independence but, until then, make your own friends.
It's a perennial topic, however. If therapist-types do, I think it comes from being over-attentive, over-protective, overly-empathic, and not respecting kids' resilience and adaptability. How Therapists Screw Up their Children.
It's important for therapist-types to put their work hat on before work, and to take it off after work.
This on parenting is related: Please Do Not Adjust Your Child