Live PD is not "actually" or "truly" live. A&E could not live-broadcast a dead body, someone exposing them self, using an x-word, an undercover agent or a child's face. It's live footage from the field but transmitted to the A&E studio and recorded, edited and delayed from a few minutes to several hours.
For example, Dan Abrams said, "Let's go live to Calvert County..." where the footage was late afternoon; however, as I was watching it "live" on TV, it was dark in Maryland. I don't recall watching any nighttime footage from Salinas, CA
If you were watching on DirecTV in Arizona, you were watching an east-coast feed. It's similar to the east coast watching an NFL game at 1 PM and you at 10 AM. Since switching to Cox, you're now watching a 3-hour delayed west-coast feed from the A&E studio to your west-coast headend of Cox. A&E wants us to watch Live PD during our respective broadcast primetimes. What we watch live during our primetime is nowhere within your primetime.