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I'd like understand why two private tabs know from eachother, which i think shouldn't be, but that's probably a firefox issue:

When i log in to a site that uses cookies, i can use a private tab to log in with another account, but when i open another private tab it's already logged in just like in the other private tab. In my understanding however, a tab (or window) would only be really private if it doesn't transfer any cookies whatsoever especially from other sites (possibly this is already the case).

Это отзыв для предыдущей версии этого дополнения (0.1.3.1-signed). 

Yes, this is a Firefox issue: Private Tab just uses built-in private browsing mechanism (and the same will happens with private windows without Private Tab).

If you want only separate cookies, try Multifox http://br.mozdev.org/multifox/