Are recursive modules even a possibility in Terraform?

Are recursive modules even a possibility in Terraform?

I want to create a module called my_module with the below content

variable "name" {
  type = "string"
}

variable "children" {
  type = list(object)
}

resource "XXX" "example_resource" {
  name = var.name
}

module "example_recursion" {
  source = "../my_module"

  count = length(var.children)

  name = var.children[count.index].name
}

When I do init it seems to get itself in a twist and ends up corrupting the module cache!

Initializing modules...
- name in ../modules/my_module
- name.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion in ../modules/my_module
- name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion in ../modules/my_module

Error: Failed to remove local module cache
│ 
│ Terraform tried to remove
│ .terraform/modules/name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion
│ in order to reinstall this module, but encountered an error: unlinkat
│ .terraform/modules/name.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion.example_recursion:
│ file name too long

Recursive modules are impossible, because Terraform builds the dependency graph between blocks, long before it processes count/for_each, so these are not effective in preventing infinite recursion.