### What happened?

We would like to have a metric that helps us determine whether a webhook exists or not. 

The metric apiserver_admission_webhook_request_total seems still emit after a webhook is deleted. So we can not use it to check whether webhook exists.
I think it is more convincing that metric stops emitting when corresponding webhook no longer exists.
  
Wondering whether there are some webhook_exists  metric that helps in this case.


### What did you expect to happen?

apiserver_admission_webhook_request_total metric should stop emit after webhook is deleted. 

### How can we reproduce it (as minimally and precisely as possible)?

create a webhook then delete it.  apiserver_admission_webhook_request_total will still emit after webhook has been deleted.

### Anything else we need to know?

_No response_

### Kubernetes version

<details>

```console
$ kubectl version
Server Version: version.Info{Major:"1", Minor:"26", GitVersion:"v1.26.2", GitCommit:"fc04e732bb3e7198d2fa44efa5457c7c6f8c0f5b", GitTreeState:"clean", BuildDate:"2023-02-22T13:32:22Z", GoVersion:"go1.19.6", Compiler:"gc", Platform:"linux/amd64"}
```

</details>


### Cloud provider

<details>
N/A
</details>


### OS version

<details>

```console
# On Linux:
$ cat /etc/os-release
# paste output here
$ uname -a
# paste output here

# On Windows:
C:\> wmic os get Caption, Version, BuildNumber, OSArchitecture
# paste output here
```

</details>


### Install tools

<details>

</details>


### Container runtime (CRI) and version (if applicable)

<details>

</details>


### Related plugins (CNI, CSI, ...) and versions (if applicable)

<details>

</details>

apiserver_admission_webhook_request_total metric still emit after webhook is deleted. Is this expected?
This is a GitHub Issue
repo:kubernetes
owner:kubernetes
Title : apiserver_admission_webhook_request_total metric still emit after webhook is deleted. Is this expected?
Issue date:

--- start body ---
### What happened?

We would like to have a metric that helps us determine whether a webhook exists or not. 

The metric apiserver_admission_webhook_request_total seems still emit after a webhook is deleted. So we can not use it to check whether webhook exists.
I think it is more convincing that metric stops emitting when corresponding webhook no longer exists.
  
Wondering whether there are some webhook_exists  metric that helps in this case.


### What did you expect to happen?

apiserver_admission_webhook_request_total metric should stop emit after webhook is deleted. 

### How can we reproduce it (as minimally and precisely as possible)?

create a webhook then delete it.  apiserver_admission_webhook_request_total will still emit after webhook has been deleted.

### Anything else we need to know?

_No response_

### Kubernetes version

<details>

```console
$ kubectl version
Server Version: version.Info{Major:"1", Minor:"26", GitVersion:"v1.26.2", GitCommit:"fc04e732bb3e7198d2fa44efa5457c7c6f8c0f5b", GitTreeState:"clean", BuildDate:"2023-02-22T13:32:22Z", GoVersion:"go1.19.6", Compiler:"gc", Platform:"linux/amd64"}
```

</details>


### Cloud provider

<details>
N/A
</details>


### OS version

<details>

```console
# On Linux:
$ cat /etc/os-release
# paste output here
$ uname -a
# paste output here

# On Windows:
C:\> wmic os get Caption, Version, BuildNumber, OSArchitecture
# paste output here
```

</details>


### Install tools

<details>

</details>


### Container runtime (CRI) and version (if applicable)

<details>

</details>


### Related plugins (CNI, CSI, ...) and versions (if applicable)

<details>

</details>

--- end body ---
