Hi!
Suggest to add the ability to do use the components socket as input into Phoenix.LiveView.send_update/3 function to make it easier to send an update to self.
Using @myself as an argument is good, but think it would be easier to grasp when just using the current socket.
I think the cid is present in the socket and the module can be fetched using __MODULE__ is guess? 
Example:
@impl true
def update(%{title: title}, socket) do
updated_socket = socket
|> assign(:title, title)
{:ok, updated_socket}
end
@impl true
def handle_event("update_title", %{"title" => title} = _params, socket) do
updated_socket = socket
|> send_update(title: title)
{:noreply, updated_socket}
end
