[model server] Update unpriviledged user model metric test ns to be more specific

[rnetser]

Description

How Has This Been Tested?

Merge criteria:

• The commits are squashed in a cohesive manner and have meaningful messages.
• Testing instructions have been added in the PR body (for PRs involving changes that are not immediately obvious).
• The developer has manually tested the changes and verified that the changes work

[rnetser]

/verified

[github-actions]

The following are automatically added/executed:

• PR size label.
• Run pre-commit
• Run tox
• Add PR author as the PR assignee

Available user actions:

• To mark a PR as WIP, add /wip in a comment. To remove it from the PR comment /wip cancel to the PR.
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  lgtm label removed on each new commit push.
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  verified label removed on each new commit push.
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  and the current PR is merged, a cherry-picked PR would be created and linked to the current PR.

Supported labels

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[github-actions]

Status of building tag latest: success.
Status of pushing tag latest to image registry: success.