Yes, the gravatons are the AWS arm architecture instances
There are different Coretex series that optimize for different things- A and X for applications (phones, cloud compute, SBCs, desktops and laptops), M for microcontrollers, and R for realtime.
This doesn't apply if the company has an ARM founder and/or architecture license. (I think that's what they're called) Eg- Apple and their M series SOCs are not Coretex cores, but share the base instruction set- but only if Apple wants it to.