There are other warts, like certain storage classes being unavailable by default (gp3), the whole ENI thing for Pod IPs, the supported version being way out of date, etc. EKS has always felt like "minimum viable product" to me -- they really want you to use their proprietary stuff like ECS/Fargate, CloudFormation, etc. If you're already on AWS and want Kubernetes, it's just what you need. If you could pick any cloud provider for mainly Kubernetes, it wouldn't be my first choice.
Having used EKS, GKE, and DOKS, I definitely prefer GKE. GKE is very feature-rich, and the API for managing clusters works well. The nodes are also cheaper than AWS. (I use DOKS for my personal stuff and I haven't had any problems, and it is free, but it's missing features like regional clusters that you probably want for things you make money off of.)
https://registry.terraform.io/modules/terraform-aws-modules/...