### Is there an existing issue for this?

- [X] I have searched the existing issues

### Current Behavior

Reproducible with https://github.com/localstack/localstack-terraform-samples/tree/master/apigatewayv2-http-referer-header

Describe here https://github.com/localstack/localstack/issues/5833

### Expected Behavior

Use of the `Referer` header should be consistent across method resources.

### How are you starting LocalStack?

With a `docker run` command

### Steps To Reproduce

#### How are you starting localstack (e.g., `bin/localstack` command, arguments, or `docker-compose.yml`)

    docker run localstack/localstack

Run the example https://github.com/localstack/localstack-terraform-samples/tree/master/apigatewayv2-http-referer-header


### Environment

```markdown
- OS: 
- LocalStack:
```


### Anything else?

_No response_
def __init__(self, service_manager=None) -> None:
        super().__init__()
        self.service_manager = service_manager or SERVICE_PLUGINS
    def forward_request(self, method, path, data, headers):
        
        headers.get(HEADER_KILL_SIGNAL) and sys.exit(0)
        if events.infra_stopping.is_set():
            return 503
        if config.EDGE_FORWARD_URL:
            return do_forward_request_network(
                0, method, path, data, headers, target_url=config.EDGE_FORWARD_URL
            )