When the collector handed you the empty sample cup, did it feel cold?

If Im at a facility where they run the A/C on high 24/7, their empty sample cups are often cold, to the point where a urine samples temp would take a tumble after being poured into from a warmed up container (about 96-98F).
Perhaps to overcome that condition, I always "prewarm" the empty cup by tucking it under my arm pit as Im closing the bathroom door, unzipping, etc..