The continue-button now always displays, and upon a key-press of the 'UI Button Key Trigger' specified text continues.
I have some follow-up questions after following your instructions. If you want to map a hotkey (e.g., 'E') to the continue button, locate it in the dialogue UI and add a UI Button Key Trigger component. This will always show the continue button with every subtitle and wait for it to be clicked. Set the Display Settings > Subtitle Settings > Continue Button dropdown to Always.