I would, I think. But honestly I can't remember if I brought my children in to see Mum - I'm sure I must have, but I am Irish so it would be normal for us. My beloved MIL died the year before and she was in the coffin at the house when we got back there, so it wouldn't be the first time either.
I'd go to the house, but maybe not have them in the room with the coffin if they don't want to or you don't want that for them). There will be cakes in the kitchen!
I will say that seeing my mum in her coffin was so helpful for me and her friends. I was there with her for a few weeks before she passed. She was sick with cancer, it destroyed her and she looked like a corpse for a few days before she actually died.
She had picked her own outfit which really suited her, and the funeral home did a lovely job with her makeup and hair. She looked well again, and it was really healing to see her with her colourful dress and makeup, not the yellowness and sunkenness that cancer left her with. It's the way she would have wanted to be remembered, as well turned-out in death as she was in life.
I was in the room with the coffin and seeing the wave of relief and love wash over people when they saw her looking like her old self again, or closer to it, was great. (Her hands were too pale though, before the viewing my dad sent me up to get her makeup and apply it to her hands, because he couldn't bear seeing the pallor of them.)