Using the latest eslint (2.0.0-rc.0).

Rules:

{
  "parserOptions": {
    "ecmaVersion": 6
  },
  "rules": {
    "quotes": [2, "single", "avoid-escape"]
  }
}

Code:

console.log(`hello 'hi'`)

Gives the following false-positive error:

  1:13  error  Strings must use singlequote  quotes

The ` string should be allowed, because it's being used to avoid quotes.

Changing the code to:

console.log("hello 'hi'")

causes the error to go away. This is inconsistent and contrary to what the docs say.