Yes, I feel that deep pain, too. My Rosie had justed turned 3 when she was gone in an instant - no goodbyes, no long sweet moments to share before she left. On a cold rainy night she was hit by a truck right in front of the house - I heard it - and by the time she was lifted into the truck to go to the vets, she was gone. Stupid me, I had run into the house to call the emergency vet, I wasn't even with her when she passed. I'm so mad at myself about it. I wish I'd at least have been holding her head in my lap. All I got in was a quick pet and a "Rosie I love you" and then ran for the phone. (This was about a year and a half ago, I still cry all the time over her.)
so yes, there are others of us who share that pain.