The complexity of logistics hasn't changed and is no different for Amazon.
Yes they are ultimately responsible for all the same border crossing paperwork and such, but that is a lot easier when everyone you work with is giving you information in convenient formats and returning your calls quickly. Not to mention the ability to leverage work from past shipments as reference.
a small player in this space has a significantly harder time since they have less reference, and vendors are more likely to treat their business as a nice-to-have instead of a want or must-have.