docs(component/cdk): modernize state in examples

### Documentation Feedback

See edit state for the original scope of this issue. Old scope/proposal: blanket change to accommodate some documentation examples having potential change detection issues. New scope: modernize remaining edge cases in documentation examples of components and CDK that could use signals to guarantee clean CD.

### Progress

See linked PRs that have updated various examples to use signals. As of this edit where I am re-vamping the copy of this issue, there is a few core components documentation examples left, and then I will move onto the CDK.

My notes for outstanding changes/branches: https://gist.github.com/msmallest/f77adb004b9e88c49b3a248bab90a26a?permalink_comment_id=6237249

Start with the outstanding changes and branches listed in the linked gist, then review the existing component and CDK documentation examples already updated in related work. Done means modernizing the remaining examples that can use signals and confirming they provide clean change detection.

Written by the indexing model from the issue text.