Yea you sadly need aws for it…
btw, here is the tutorial: https://tech.anytype.io/how-to/self-hosting
You don’t need AWS, you need “S3-compatible storage” which could also be a MinIO host. You could bypass the need for AWS that way.
I'm not seeing where it needs aws. It does need an s3 API compatable object store but there are a number of them that are self-hostable. I might have missed it in my brief reading of it.