Syag Lchochma -“I’ve learned in first aid certification courses NEVER to put very cold or ice water on a burn because it, too, can damage the skin.”
Yes, it can.
“It is imperative (per the information I received) to soak in lukewarm/tepid water to keep the skin temp down but not further exacerbate the damage.”
You can use cold water also, but not for a long time.