vpa CRD not contain status subresource

[wu0407]

Which component are you using?:

vertical-pod-autoscaler

What version of the component are you using?:

Component version: 0.13.0

What k8s version are you using (kubectl version)?:

kubectl version Output

$ kubectl version
Client Version: version.Info{Major:"1", Minor:"23", GitVersion:"v1.23.10", GitCommit:"7e54d50d3012cf3389e43b096ba35300f36e0817", GitTreeState:"clean", BuildDate:"2022-08-17T18:32:54Z", GoVersion:"go1.17.13", Compiler:"gc", Platform:"linux/amd64"}
Server Version: version.Info{Major:"1", Minor:"23", GitVersion:"v1.23.10", GitCommit:"7e54d50d3012cf3389e43b096ba35300f36e0817", GitTreeState:"clean", BuildDate:"2022-08-17T18:26:59Z", GoVersion:"go1.17.13", Compiler:"gc", Platform:"linux/amd64"}

What environment is this in?:
kubernetes 1.23

What did you expect to happen?:

vpa crd has stataus field in subresources, that metadata.generation only increase in spec change
relate pr #3606

What happened instead?:

The vpa crd has empty subresources that leads to metadata.generation increase on vpa status update

autoscaler/vertical-pod-autoscaler/deploy/vpa-v1-crd-gen.yaml

Line 516 in f173888

subresources: {}

How to reproduce it (as minimally and precisely as possible):

Anything else we need to know?:

relate code:

autoscaler/vertical-pod-autoscaler/pkg/apis/autoscaling.k8s.io/v1/types.go

Lines 39 to 52 in f173888

	// +genclient
	// +k8s:deepcopy-gen:interfaces=k8s.io/apimachinery/pkg/runtime.Object
	// +kubebuilder:storageversion
	// +kubebuilder:resource:shortName=vpa
	// +kubebuilder:printcolumn:name="Mode",type="string",JSONPath=".spec.updatePolicy.updateMode"
	// +kubebuilder:printcolumn:name="CPU",type="string",JSONPath=".status.recommendation.containerRecommendations[0].target.cpu"
	// +kubebuilder:printcolumn:name="Mem",type="string",JSONPath=".status.recommendation.containerRecommendations[0].target.memory"
	// +kubebuilder:printcolumn:name="Provided",type="string",JSONPath=".status.conditions[?(@.type=='RecommendationProvided')].status"
	// +kubebuilder:printcolumn:name="Age",type="date",JSONPath=".metadata.creationTimestamp"
	// VerticalPodAutoscaler is the configuration for a vertical pod
	// autoscaler, which automatically manages pod resources based on historical and
	// real time resource utilization.
	type VerticalPodAutoscaler struct {