Mother’s milk is warm but it’s produced constantly in only small amounts—so lambs can’t take too much at one time.
But orphan milk buckets “produce” milk sporadically in large amounts. If the milk is warm, healthy orphans will take too much (gorge) at a time. And the milk will spoil rapidly.
Use warm milk only for newborns. Then switch to cold milk—because cold milk causes lambs/kids to regulate their intake (they become chilled and stop drinking).
To keep it cold we freeze water (see below) in 2 qt and 1 gal plastic bottles or jugs and drop them in the buckets.