The cold/warm difference is rather larger, I would figure it could be a large factor in this case. I always try to warm up my tires before giving them air for this reason.
Ditto on checking tires warm when exceeding the car manufacturer's recommended PSI!
I checked my tires after work (sitting "cold" all day). Expecting to see 45 PSI on all four tires. Nope! 50! I backed them down to 44 PSI per the sidewall notation. I checked the tires shortly after I got home from my 74-mile commute and the tires were all an even 45 PSI warm.
I don't want to risk a tire like in that picture above. Yikes!