Private browsing

Why is consent valid on several sites when I'm browing through "standard browsing" but only on my site when I'm on private browsing?

When the browser does not support third-party cookies or the user has disabled them, it is not possible to apply their choices on several sites. In this case, the user's choices are only applied to the site visited.

Now, on the Chrome browser in private browsing, third-party cookies are disabled by default, which is why the choices are applied to what is called a local scope. It is possible to reactivate third-party cookies by modifying the Chrome settings.