I've done some research on the CO2 influence on hatching, so far only found it in reference to bird eggs. It seems to be well documented for them, but I can't seem to find anything about reptiles, except for one short paragraph in a book. Since reptiles are closely related, I thought it might be the same with them (for some species at least).
Two examples of CO2 and bird eggs that show the relationship:
Exotic Pet Vet
The initiation of hatch occurs partially from the increased carbon dioxide level in the egg.
This causes the embryo to begin twitching it's muscles, allowing the inner shell membrane to be
punctured by the egg tooth. The chick then begins breathing the air in the air cell. As the
carbon dioxide level begins to rise again, the muscularia complexus (the pipping muscle) at the
base of the neck begins twitching again, facilitating the hatch. Abdominal muscles also begin
twitching, which helps draw the yolk sac into the celoem. Leg muscle twitching helps strengthen
the legs.
Chickscope - Univ. of Illinois
The amount of oxygen supplied through the eggshell is adequate until the chick starts the exhausting process of hatching. During incubation, the water lost by the egg through evaporation is replaced by air, which is stored in the air cell. By the time the chick begins hatching movements, the air cell has grown to fill 15% of the egg. The chick's first hatching movements are to break the shell membranes covering the air cell and take its first breaths with its lungs. The extra oxygen stored in the air cell is enough to allow the chick to break through the eggshell. Even with the air cell ruptured, there is still a high concentration of carbon dioxide in the egg compared to the outside environment. The high concentration of carbon dioxide actually causes the neck muscles of the chick to jerk and thus allows the chick to peck through the eggshell.
I'm still looking for reptile egg references, but might have to switch to the much slower search - printed books.