statistics: correct behavior of non-lite InitStats and stats sync load of no stats column (#57803)

[ti-chi-bot]

This is an automated cherry-pick of #57803

What problem does this PR solve?

Issue Number: close #57804

Problem Summary:

What changed and how does it work?

You can regard this pull request as a totally rewrite of #53399 and #53298

This pull reduced the possible stats state after the stats initialization finished. Now we'll get the same memory objects after a non-concurrent or current non-lite load.

Then use the unified status to make the ColumnIsLoadNeeded correct when one column even has no record in mysql.stats_histograms.

Check List

Tests

• Unit test
• Integration test
• Manual test (add detailed scripts or steps below)
• No need to test

  • I checked and no code files have been changed.

Side effects

• Performance regression: Consumes more CPU
• Performance regression: Consumes more Memory
• Breaking backward compatibility

Documentation

• Affects user behaviors
• Contains syntax changes
• Contains variable changes
• Contains experimental features
• Changes MySQL compatibility

Release note

Please refer to Release Notes Language Style Guide to write a quality release note.

None

[ti-chi-bot]

@winoros This PR has conflicts, I have hold it.
Please resolve them or ask others to resolve them, then comment /unhold to remove the hold label.

[winoros]

/unhold

[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: hawkingrei, winoros

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2025-02-25 20:07:52.109539543 +0000 UTC m=+386420.062697804: ☑️ agreed by hawkingrei.
• 2025-02-26 16:43:28.379217517 +0000 UTC m=+460556.332375783: ☑️ agreed by winoros.

[winoros]

/retest

[codecov]

Codecov Report

Attention: Patch coverage is 91.66667% with 2 lines in your changes missing coverage. Please review.

Please upload report for BASE (release-7.5@2934832). Learn more about missing BASE report.

Additional details and impacted files

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