Malika, you are so right.
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In the encounter here, the guy booked the girl with the info he had available. He wasn't made aware of the changes when he booked or made aware before the session started and he wasn't offered to cancel at no cost. THAT's false advertising.
As far as the website not being updated, it's possible Nadia can't do it but, in this case, if she warn peoples when they book, it's no big deal.
But, in this case, the guy was promised a service, paid with the impression he would get what he was promised but the promises weren't met. He kept his part of the deal, the SP/Agency didn't.
He didn't book the girl as an indy, he booked her via the agency so, the agency is responsible for the services offered by the girl. If the agency don't communicate properly with the SP in order to know her conditions, that's the agency's problem, not the customer. If the girl decided to change her mind after she talked to the agency, guess what? It's still the agency's problem! As far as customers are concerned, they deal with the agency, not the girl! What the agency decide to do with a girl who doesn't keep them posted is their problem, not the customer's.
Now, when the agency owner can't admit their responsibility, that's called "digging your own hole". When the owner keep denying even if shown there no sense in doing so, it's called "begging to get a bigger shovel"... Any business analyst will tell you that a customer who had problems and saw these problems solved promptly and to his favor is worth a lot in free publicity. A customer who is handled poorly when there's problems will cost way more in bad publicity.
Nadia, we all understand it's not PERSONALLY your fault that Lolita changed her mind but, COMMERCIALLY, she's working with your agency so, COMMERCIALLY, your agency is responsible for her actions. NOT YOU personally, your agency! That's just the way a business is run!