Meta-bug for per-window private browsing in Bugzilla is [2].
[1] https://hacks.mozilla.org/2012/12/firefox-development-highli...
Yes, the Firefox mode is far more awkward for quick testing, but it does have the advantage of making it explicitly clear when you start and end your private browsing session.
A better behavior here would perhaps be that after having the first Incognito Window open, the next would be become "Incognito Window 2". The "detective icon" could have a number overlay and each window would isolated. If you want to share data between the open pages the natural thing to do would be opening a new tab.
I actually like to have an option to have a private tab. If it's just for a quick test then windows is fine, but if I want to continuously work with two logins on one page or something similar then I found the tab to be more appropriate.