is a good idea set props like my code in HOC Component?

I did this code to try to build a HOC Component

import { useState } from 'react';

function withCountState(Wrapped) {
  return function (props) {
    const [count, setCount] = useState(0);
    return <Wrapped count={count} setCount={setCount} {...props} />;
  };
}

const Wrapped = props => {
  const { count, setCount } = props;
  return (
    <div>
      <h1>Counter Functional Component</h1>
      <p>You clicked {count} times</p>
      <button onClick={() => setCount(count + 1)}>Increment count</button>
      <button onClick={() => setCount(count + 3)}>Increment count</button>
      <button onClick={() => setCount(count + 5)}>Increment count</button>
    </div>
  );
};

const EnhancedWrapped = withCountState(Wrapped);
export default EnhancedWrapped;

Complete code

Is a good idea set props like count={count} setCount={setCount} {...props} in ‘withCountState’ component, Why pass {…props} is not enough to detect my props?