[Flaky test] StatefulSet integration when StatefulSet created should allow to update the PodTemplate in StatefulSet

[mimowo]

/kind flake

What happened:

The test failed on unrelated branch: https://prow.k8s.io/view/gs/kubernetes-ci-logs/pr-logs/pull/kubernetes-sigs_kueue/4131/pull-kueue-test-e2e-main-1-29/1886439313734897664

What you expected to happen:

No failures

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

Repeat

Anything else we need to know?:

{Timed out after 10.001s.
The function passed to Eventually failed at /home/prow/go/src/sigs.k8s.io/kueue/test/util/util.go:102 with:
Error matcher expects an error.  Got:
    <nil>: nil failed [FAILED] Timed out after 10.001s.
The function passed to Eventually failed at /home/prow/go/src/sigs.k8s.io/kueue/test/util/util.go:102 with:
Error matcher expects an error.  Got:
    <nil>: nil
In [AfterEach] at: /home/prow/go/src/sigs.k8s.io/kueue/test/e2e/singlecluster/statefulset_test.go:83 @ 02/03/25 15:47:42.977
}

Also another test " StatefulSet integration when StatefulSet created should delete all pods on scale down to zero" failed with

{Expected success, but got an error:
    <*errors.StatusError | 0xc0002cd4a0>: 
    resourceflavors.kueue.x-k8s.io "sts-rf" already exists
    {
        ErrStatus: {
            TypeMeta: {Kind: "", APIVersion: ""},
            ListMeta: {
                SelfLink: "",
                ResourceVersion: "",
                Continue: "",
                RemainingItemCount: nil,
            },
            Status: "Failure",
            Message: "resourceflavors.kueue.x-k8s.io \"sts-rf\" already exists",
            Reason: "AlreadyExists",
            Details: {
                Name: "sts-rf",
                Group: "kueue.x-k8s.io",
                Kind: "resourceflavors",
                UID: "",
                Causes: nil,
                RetryAfterSeconds: 0,
            },
            Code: 409,
        },
    } failed [FAILED] Expected success, but got an error:
    <*errors.StatusError | 0xc0002cd4a0>: 
    resourceflavors.kueue.x-k8s.io "sts-rf" already exists
    {
        ErrStatus: {
            TypeMeta: {Kind: "", APIVersion: ""},
            ListMeta: {
                SelfLink: "",
                ResourceVersion: "",
                Continue: "",
                RemainingItemCount: nil,
            },
            Status: "Failure",
            Message: "resourceflavors.kueue.x-k8s.io \"sts-rf\" already exists",
            Reason: "AlreadyExists",
            Details: {
                Name: "sts-rf",
                Group: "kueue.x-k8s.io",
                Kind: "resourceflavors",
                UID: "",
                Causes: nil,
                RetryAfterSeconds: 0,
            },
            Code: 409,
        },
    }
In [BeforeEach] at: /home/prow/go/src/sigs.k8s.io/kueue/test/e2e/singlecluster/statefulset_test.go:64 @ 02/03/25 15:47:42.995
}

I suppose this is a consequence of the first failure.

[mimowo]

cc @mbobrovskyi

[Horiodino]

/assign