Snippet showing that dispatching keydown events programmatically doesn't trigger click.

keyDownAndClicks.js

button = document.createElement('button')
button.onclick = function() { console.log('you clicked me!') }

button.dispatchEvent(new Event('click'))

button.addEventListener('keydown', e => {
  console.log('I received a keydown event', e.key)
})

function aKeyboardEvent() {
  var keyboardEvent = new KeyboardEvent('keydown', {
    key: 'a',
    code: 'KeyA',
    which: 65
  });
  
  return keyboardEvent;
}

function enterKeyboardEvent() {
  var keyboardEvent = new KeyboardEvent('keydown', {
    key: 'Enter',
    code: 'Enter',
    which: 13
  });

  return keyboardEvent;
}

function spaceKeyboardEvent() {
  var keyboardEvent = new KeyboardEvent('keydown', {
    key: ' ',
    code: 'Space',
    which: 32
  });

  return keyboardEvent;
}


button.dispatchEvent(aKeyboardEvent())
button.dispatchEvent(enterKeyboardEvent())
button.dispatchEvent(spaceKeyboardEvent())