Can't paralyse eggs

You can stack paralysis until it pops up with ‘paralysed’ but it will still hatch and the creature inside will still attack as normal.

You can capture an egg by paralysing it the same turn you finish the mission. Like if you shoot a hatching tower while one is paralysed.

So either they should stop the hatching process when paralysed or the creature inside should be paralysed once it hatches.

Can you vivisect the egg when you capture it?
I had been wondering about paralyzing eggs, but assumed it would just be something players may do just to say they did it, but which would provide no benefit in game.

Nope, but it gives you a decent amount of mutagens once you unlock that stuff.