Before You File a Bug Report Please Confirm You Have Done The Following...

• I have tried restarting my IDE and the issue persists.
• I have updated to the latest version of the packages.
• I have searched for related issues and found none that matched my issue.
• I have read the FAQ and my problem is not listed.

Playground Link

https://typescript-eslint.io/play/#ts=5.2.2&showAST=es&fileType=.ts&code=JYOwLgpgTgZghgYwgAgEJysg3sgUM5OACgEoAuZANwHtgATAblwF9dcEAbOAZ2%2BQEFkwALYAHDhGERwfdJhz5CpCjXrZkrAqKjBKcSMgBGyqrTrZWzIA&eslintrc=N4KABGBEBOCuA2BTAzpAXGUEKQAIBcBPABxQGNoBLY-AWhXkoDt8B6M%2BAQ2WVoFtE%2BABYB7ACa9YyRLWGVUGANqQA7p2hNIAGkzhsEVqyiUA5kxHREAeQBuiaFTGIAsoNET0YfHERa9%2ByFNzSwBhLh4UABUhTnwAST5iJAEWAEEmOJZ7ADNOMkRPb1hEfzAAXwBdPTKQMqA&tsconfig=N4KABGBEDGD2C2AHAlgGwKYCcDyiAuysAdgM6QBcYoEEkJemy0eAcgK6qoDCAFutAGsylBm3TgwAXxCSgA&tokens=false

Repro Code

interface Bar { 
  a(): void;
}

class A implements Bar { 
  a(): void { }
  private b(): void {}
}

ESLint Config

module.exports = {
  "rules": {
    "@typescript-eslint/class-methods-use-this": ["warn", {
      "ignoreClassesThatImplementAnInterface": true
    }]
  }
}

tsconfig

{
  "compilerOptions": {
    "strictNullChecks": true
  }
}

Expected Result

I think the rule should warn about the implementation of A.b() in the above code.
Because TypeScript's interface feature does not have any private/protected member as a part of it.

So the rule enabling ignoreClassesThatImplementAnInterface=true should warn the case of that the implementation is not a part of interface.

Actual Result

In the above code, the rule does not warn about implementation of A.b().

Additional Info

No response