Use identity instead of equality when possible

[Viicos]

Change Summary

Related issue number

Checklist

• The pull request title is a good summary of the changes - it will be used in the changelog
• Unit tests for the changes exist
• Tests pass on CI
• Documentation reflects the changes where applicable
• My PR is ready to review, please add a comment including the phrase "please review" to assign reviewers

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[codspeed-hq]

CodSpeed Performance Report

Merging #10712 will not alter performance

_{Comparing identity-over-equality (8566d16) with main (13979e9)}

Summary

✅ 44 untouched benchmarks

[github-actions]

Coverage report

Click to see where and how coverage changed

File	Statements	Missing	Coverage	Coverage (new stmts)	Lines missing
pydantic/_internal
_generate_schema.py
Project Total

This report was generated by python-coverage-comment-action

[sydney-runkle]

Pretty hard to review such a large diff, but after much pondering, I've decided we should move forward with this ✅