Address lingering changes to `deployment_view_button`

What does this MR do?

Addresses the changes to the deployment_view_button requested in #37989 (closed). (!18918 (comment 253432786), !18918 (comment 253432784)).

Does this MR meet the acceptance criteria?

Conformity

• Code review guidelines
• Merge request performance guidelines
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Availability and Testing

• Review and add/update tests for this feature/bug. Consider all test levels. See the Test Planning Process.