"Well, honestly, both my husband and I tend to ignore the tabloids. We see them every once in awhile or it comes to our attention that we are in a tabloid for one reason or another. But it's always false"

Connie Chung is suggesting that she and her husband do not pay much attention to tabloid news. She acknowledges that they might stumble upon tabloid stories about themselves from time to time, but she highlights that these stories are constantly false. This suggests that Connie and her hubby do not take tabloid news seriously and do not believe the stories they read. This is most likely since tabloid news is frequently sensationalized and exaggerated, and Connie and her other half choose to focus on more reliable sources of news. By ignoring the tabloids, Connie and her other half have the ability to keep their own sense of truth and not be swayed by incorrect stories.