“Private” browsers are simply browsers specifically built to run only in “private browsing mode” AND to block ads and sometimes block website trackers.
In fact, “Private” browsers are NOT private (or secure) at all, because your device STILL connects with the visited website!
When your device connects with any website visited using these type browsers, that website can still identify you, and see the cookies on your device.
Further, because the website shakes the hand of your device with the “Private” browser, you can still get viruses as well.
Finally, even with a “Private” browser your Internet provider (IP) can also see the sites that you visited too.
ALL (regular and private browsers) have the same thing in common. The browser is always running on your device — and it is your device(s) that always give you away.