Not sure what STAR Lufthansa was on, but typically by the time I am assigned a heading to depart a WP on, I’m on the second NCT controller. I’d be curious if Lufthansa on initial contact with the first NCT controller advised them of their inability to fly the visual. Assuming Visuals, charted visuals and FMS visual were being advertised on the ATIS, Lufthansa had plenty of advance notice. If they hadn’t mentioned it till what’s heard on the recording, well that handcuffs the controller as the spacing needed to be established significantly earlier.