I block DM on my laptop so I can never ever be tempted to give them the clicks.
There won't be one decision that's right for all parents and all kids.
OK not the same but I had a dilemma when the cat died about whether to let them see her dead body (not squashed or owt but definitely cold). I decided on balance not to. Based on their ages, temperaments and a general instinct - had they been a wee bit older and circumstances were different I'd have made a different decision.
Planning a home birth I'd probably make arrangements for them to be elsewhere as you never know where the process might end up, a good birth might be fascinating and reassuring for them, but if it went a bit scary this could worry them.