it is agnostic of cloud providers: you can use it to deploy infrastructure to multiple providers

Nicely put. I frequently see the first part of this sentence and not the second. (Maybe I only pay attention to the first part and then disappoint myself...)

Terraform/Tofu allow me to use the same basic syntax and to have one project that controls AWS/GCP/K8s/my home servers, but I cannot use it to describe "a running server process" and just deploy that on any of those places. Instead I'd need to have like aws_beanstalk_service { ... } and gcp_application { ... } and kubernetes_manifest { ... } and systemd_service { ... } and the contents of those blocks would be totally different (and I'd need a bunch of different ancillary blocks for each of those).