You asked for our opinions, so here mine, as blunt as it may sound. He made 50% of that baby. If he wants to be there when you give birth to it, he damn well has the right to. No question. The decision is not YOURS.
Yikes. This is decision is actually 100% hers. This may be their child, but this is HER birth. As far as I'm concerned, if he is going to cause her more stress during delivery, he needs to not be there. I'm fully confident that the nurses would have no problem chuking her asshole partner out if she asked. He's also already expressed that he doesn't care about her or the baby at all, so why should he have any say at all? I don't know why you think contributing a few seconds worth of DNA entitles him to harass her in labor.
That argument you described is EXTREMELY petty and the fact that you are even considering preventing him from seeing his own damn child being born because of some burnt pasta is astounding to me.
Did you totally miss the part where he told her he didn't care about her or the baby? You have the emotional depth of a teaspoon if you think this argument is about pasta.
My gut reaction when reading your post was, “grow the fuck up” to be COMPLETELY honest.
The only one who needs to grow the fuck up is her parter. At this point I would've thrown the whole man out though.
Again, you asked for my opinion so here you go.
She would have been entirely better off without you trying to make her feel like shit for the fact that her partner is an immature douche. Hopefully she has a wonderful stress free birth and will not hesitate to toss him out of the delivery room if she feels uncomfortable.