How to exclude a particular subtree from processing descendants in jq

I have the following json input:

{"to_exclude": {"x": "something","aa": {"x": "something","aaa": {"x": "something"      }    }  },"a": {"x": "something else","aa": {"x": "something else","aaa": {"x": "something else"      }    }  },"b": {"x": "something else","bb": {"x": "something else","bbb": {"x": "something else"      }    }  },"...": {"x": "something else","......": {"x": "something else",".........": {"x": "something else"      }    }  }}

I'd like to replace the values of all x keys that are not descendants of to_exclude by anything.

The output should look like this:

{"to_exclude": {"x": "something","aa": {"x": "something","aaa": {"x": "something"      }    }  },"a": {"x": "anything","aa": {"x": "anything","aaa": {"x": "anything"      }    }  },"b": {"x": "anything","bb": {"x": "anything","bbb": {"x": "anything"      }    }  },"...": {"x": "anything","......": {"x": "anything",".........": {"x": "anything"      }    }  }}

How can I achieve this in a similarily compact way as I could easily achieve the opposite? (the replacement for all values of x keys that are descendants of to_exclude):

.to_exclude |= (.. |= ( if type == "object" and has("x") then .x = "anything" else . end))

Output:

{"to_exclude": {"x": "anything","aa": {"x": "anything","aaa": {"x": "anything"      }    }  },"a": {"x": "something else","aa": {"x": "something else","aaa": {"x": "something else"      }    }  },"b": {"x": "something else","bb": {"x": "something else","bbb": {"x": "something else"      }    }  },"...": {"x": "something else","......": {"x": "something else",".........": {"x": "something else"      }    }  }}