However, they do have images with other distros also well preconfigured though don't they?
Ubuntu considers AWS/GCP to be certified platforms so the server is fully tested on AWS as a hardware platform and there are specific kernel/toolchain/user-space optimisations done to make it run well [0].
The advantage of one of the existing distributions over Amazon Linux is that they are available and tested across multiple clouds, hardware platforms and range of software.
[0] https://www.ubuntu.com/cloud/public-cloud this page leads to various documentation on images, optimisations etc.
Also, and for many more importantly, it's probably easier to get support from Amazon if you're using their official Linux as opposed to a third party distribution.
[0] I'm pretty sure it's true for CentOS / RHEL, I just don't know for a fact.