Yes, never nero- or zero-play a property while rated as your ADT will drop and likely your offers.
Imagine the following cruel joke: Your acquaintance is a 7* member with CET, but you are a filthy gold cardholder. You are both staying at MGM, and for some reason, you have a falling-out over the course of the night. To get even, you quickly take your acquaintance's 7* card and mad-dash north to Harrah's. Your acquaintance catches up with you but sees that you've placed h/er card in a penny slot with "one line, bet 1 per line" selected. You have an evil grin on your face and yell "I'll do it...I'll do it!" with the handle in your hand.
Casino security, CCSD, and SWAT have descended on Harrah's for hostage negotiation. They think: "What monster would even think of low-playing a 7 stars card?" "At least push max bet!" "Won't somebody please think of the average daily theoretical?"
You wouldn't do this to your card, would you?