What do you mean satellite computers? Private browsing saves no information when closed. If you also open a regular browser at the same time you may think close the private closes everything of which it does but the standard browser will keep the info of what else your doing. This is what I think this is what your doing and linking the two which isn't related.

Your answer is not clear. Here is what happened. I used my wife's MAC, turned on "Private Browsing. " All my activities during private browsing showed up on her IPAD and IPHONE. This fact surprised me because "Private Browsing" should be restricted to the device you are browsing on. I know that her devices are linked, in that whatever you do on one device, the cloud updates the other devices too, but this automatic update should not involve private browsing. If it does, you should warn users of this fact.

Suggest log into Sync and un-sync while in Private.

To submit suggestions for new or changed features, may I suggest: Feedback: https://qsurvey.mozilla.com/s3/FirefoxInput/ or https://discourse.mozilla.org/c/add-ons If you have a bug, file a bug report. https://bugzilla.mozilla.org/ Bug Writing Guidelines : https://developer.mozilla.org/en-US/docs/Mozilla/QA/Bug_writing_guidelines

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