When I have been grieving the loss of a loved one, which I have done too many times to count, I have never felt even the tiniest bit better because someone said they were sorry for my loss. Is that just me? I can't remember anyone actually saying that their "heart goes out" to me, or went out to me, or however you say it, but if they ever did, or ever do, I'm afraid it might make me laugh just thinking about the literal meaning of the words. (Look out, hearts incoming!)
If only euphemisms weren't required and people spoke plainly, we'd all be better off. Like saying to the parents of the Uvalde victims, "I know there are no words that can ease your suffering, but if you think of anything I can do to help you now, tell me."