It really depends on the business context. If you are already running your workloads in (and tied to) an AWS infrastructure, then going with AWS Batch could be a good consistent option.

However, if you would like to be platform agnostic , then it would be better to containerize your spring batch jobs and run them in ECS (and then EKS if more scale is needed).

If it were up to me, I would go with option 2, regardless, because this is the way I believe modern batch infrastructures should be designed and operated. I wrote about this here: https://spring.io/blog/2021/01/27/spring-batch-on-kubernetes-efficient-batch-processing-at-scale

I hope this helps, but let me know if you need more details that might help you make a decision.