Improve messages around waiting for pods.

[porridge]

What this PR does / why we need it:

This is a step towards solving #55785

Release note:

NONE

[porridge]

/assign @spiffxp

[shyamjvs]

/lgtm

[k8s-github-robot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: porridge, shyamjvs

Associated issue: 55785

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[shyamjvs]

/kind bug
/priority important-soon
/sig scalability
(as it's improving logs, especially for our scalability tests)

[k8s-github-robot]

[MILESTONENOTIFIER] Milestone Pull Request Needs Attention

@porridge @shyamjvs @spiffxp @zmerlynn @kubernetes/sig-scalability-misc

Action required: During code slush, pull requests in the milestone should be in progress.
If this pull request is not being actively worked on, please remove it from the milestone.
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Note: If this pull request is not resolved or labeled as priority/critical-urgent by Wed, Nov 22 it will be moved out of the v1.9 milestone.

Pull Request Labels

• sig/scalability: Pull Request will be escalated to these SIGs if needed.
• priority/important-soon: Escalate to the pull request owners and SIG owner; move out of milestone after several unsuccessful escalation attempts.
• kind/bug: Fixes a bug discovered during the current release.

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[k8s-github-robot]

Automatic merge from submit-queue (batch tested with PRs 54316, 53400, 55933, 55786, 55794). If you want to cherry-pick this change to another branch, please follow the instructions here.