I believe it is the model who decides whether his privates are "true privates" or can be seen by voyeurs. If that matters to you, you should consult the model before you go private.
A model's being on other sites during a private is very annoying to some customers. I have seen models take a couple of minutes to close down their other sites when they go private. I have seen other models gleefully take all the credits and tokens and other currencies they can get regardless of whether they are in private. I have heard tips from some websites whose sound I don't even recognize. I have watched a flirt model go private and then switched over to one of the other sites and viewed the whole darn thing. Whether any of those facts are good or bad for models is an opinion. But if it bothers you, just realize that you are on the internet, and most often you are not alone when you are on the internet.
I suspect, without being able to prove it, that models are not eager for a true private if you demand and negotiate a cheap rate. In other words, you might get what you pay for. That is why I never like to see models turn on the "offer" button, because in those cases, the customer is a cheapskate.
The easiest thing is for the customer not to worry whether somebody else is watching the model act out the customer's fantasies, because usually voyeurs can't understand anything about somebody else's quirks and fetishes when they can't hear you or see your typing. It all looks silly anyway to everybody except the customer who bought the session.
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