When you .type() in an element inside a shadow root, it will always perform a .click(), even if the element is focused.
I've come up with a scenario with a web component; the component contains two elements: an <input> and a focusable <div>, which is a popup. When the input is clicked, the popup appears & is focused, but the same does not happen on focus.
While this seems like a contrived example, I'm running into a similar issue with a more complicated component in a complex codebase.
Either check inside of shadow roots when determining when an element is focused for the purposes of .type(), or allow the user to disable the automatic .click().