Consistent Availability Zones in VPCs

Hi.

That is not how the AZ naming works. You have a AZ ID which is consistent across all AWS accounts, for example use1-az1, this represents the same physical location in every AWS account. Then you have the logical name for example us-east-1a. So when you create consistent AZ across accounts the logical names will be different but the solution you link to will the use the AZ ID to look up the consistent logical AZ.

You can read more in the documentation