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One problem I see with your 4-car funicular are the switches. A normal funicular uses Abt switches that always make each car run on one side of the halfway passing loop. That way, the cables will always stay seperated
Your 4-car funicular will have three passing loops.
In the webm, car 1+2 (red) and 3+4 (yellow) would be connected by one cable respecitvly. The central loop will always see either two red or two yellow cars (like the loop on a normal funicular). The other loops will always have a red and yellow car passing each other. Which car passed on which side is noted by the numbers next to the loops.
Because of this each car will always run on one side on two loops and on the other side on the remaining third and there is no way around that.
And as I see it, this will require the cables to cross each other at some point.
(If anyone wants to know, the webm was made with JBSS Bahn, a sandbox streetcar and railway network simulation)