### Apache Airflow version

2.5.2

### What happened

Not sure if this is a feature not a bug, but I can use KubernetesPodOperator fine without setting a kubernetes_conn_id.
For example:
```
start = KubernetesPodOperator(
        namespace="mynamespace",
        cluster_context="mycontext",
        security_context={ 'runAsUser': 1000 },
        name="hello",
        image="busybox",
        image_pull_secrets=[k8s.V1LocalObjectReference('prodregistry')],
        cmds=["sh", "-cx"],
        arguments=["echo Start"],
        task_id="Start",
        in_cluster=False,
        is_delete_operator_pod=True,
        config_file="/home/airflow/.kube/config",
    )
```

But if I add deferrable=True to this it won't work. It seems to require an explicit kubernetes_conn_id (which we don't configure).

Is not possible to the deferrable version to work as the non deferrable one?

### What you think should happen instead

I hoped that kpo deferrable would work the same as non deferrable.

### How to reproduce

Use KPO with deferrable=True but no kubernetes_conn_id setting

### Operating System

Debian 11

### Versions of Apache Airflow Providers

_No response_

### Deployment

Official Apache Airflow Helm Chart

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [ ] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

self,
        content: Any,
        context: Context,
        jinja_env: jinja2.Environment,
        seen_oids: set,
    ) -> None:
        if id(content) not in seen_oids:
            template_fields: tuple | None
            if isinstance(content, k8s.V1EnvVar):
                template_fields = ("value", "name")
            elif isinstance(content, k8s.V1ResourceRequirements):
                template_fields = ("limits", "requests")
            elif isinstance(content, k8s.V1Volume):
                template_fields = ("name", "persistent_volume_claim")
            elif isinstance(content, k8s.V1VolumeMount):
                template_fields = ("name",)
            elif isinstance(content, k8s.V1PersistentVolumeClaimVolumeSource):
                template_fields = ("claim_name",)
            else:
                template_fields = None
            if template_fields:
                seen_oids.add(id(content))
                self._do_render_template_fields(content, template_fields, context, jinja_env, seen_oids)
                return
        super()._render_nested_template_fields(content, context, jinja_env, seen_oids)
    @staticmethod
    def _get_ti_pod_labels(context: Context | None = None, include_try_number: bool = True) -> dict[str, str]: