Should an Autocascade use Partial Phase Separators?
Although I have presented several schemes along this theme, my answer would be NO!
The reason being; you'll be sacrificing thermodynamic efficiency in the process. It is always better to design with the best possible phase separation, heat transfer, and minimal pressure drop. If you have to resort to partial phase separators to get your system to work properly, then you're probably sacrificing efficiency in doing so.
Of course sometimes due to the refrigerants that are available (or not available), you are left with no choice. So because of this, I think it is still important to cover the topic of partial phase separators, but it is also just as important to try to design without relying them.