Actually they are just lazy, self-serving bureaucrats. My permit got approved in 1 day. My phone call and my email were both never returned.
Adding insult to injury, once I relisted my stay, within a day, the city notified Airbnb that my listing was not permitted (which of course it was). So they have time to do what serves themselves best.
The city of LA also just imposed a new $3 per booking fee. That's on top of the 14% tax and the $91 yearly permit fee.