It has been proven that one method of prolonging the hatchability of eggs is to store them pointy side up in an egg carton that has been enclosed in a plastic bag kept in a cool place such as inside a closed cooler. No turning of the eggs is done during the storage phase. Eggs stored in this manner have been shown to have up to 80% hatches after storing for 30 days. Enclosing them in a plastic bag, storing small end up inside of a cooler has been shown to help prevent the loss of air from the air cell.IMO eggs are living breathing entities that need oxygen even in transit. They suffer when wrapped tightly in bubble wrap and tape. Hatching eggs get roughed up enough in mail transit as it is and the lack of air affects hatch too.
You should be able to read about this storage method in the hatching eggs storage section in Hatching Eggs 101 by @Sally Sunshine
There has not been any evidence shown that wrapping the eggs tightly in bubble wrap causes any damage. There is evidence to show that allowing the eggs to "spin" when unwrapping the bubble wrap can cause damage.
Other things that cause damage during shipment are being placed in a non-pressurized plane at altitude which can cause the destruction of the internals of the eggs. Flying them in a pressurized area of the plane works well but not in the non-pressurized cargo parts of the planes.
Eggs that have their containers turned upside down can suffer when the small ends are up during the shipping process.
The shipping method with some of the best results is to wrap the eggs in bubble wrap, well packed in a box which is then bubble wrapped inside a larger box. The outer box and bubble wrap help to prevent the vibrations being passed into the inner box and the eggs.