Axel,
The blue wires will not have any current flow trough them in normal conditions but if there is a bad contact or one of the green bars is missing then there will be some current flow.
No it is not necessary to have the blue bars on both positive and negative but since I got those included with the cells I used all of them as I had no other use for them.
Yes for 8S4P in normal conditions the current will split in to 4 but since it is possible one connection is bad I will use the total current divided by 3 to allow for such fault cases and also in that case the blue will be designed for same current as green.
Same will be valid for yellow.
So say you protect that EVE 8S4P battery with a 400A circuit breaker or 400A fuse then each green and yellow bus bars will experience 100A max in normal operation and in case of a single fault it will be 133A thus you design the bus bars to handle 133A
So 16mm^2 flexible bus bars will be more than sufficient in this example but if you expect long periods at 400A you can use thicker bus-bars.
My Battery 8S2P uses 16mm^2 flexible silicone wires as bus bars but my max total current is 125A (breaker rating) and since I only have two cells in parallel if one connection is bad then all current will flow trough a single 16mm^2 bus bar.
The included braided bus bars are complete overkill at 35mm^2 or maybe even 50mm^2 (I do not remember exactly).
The important part to pay attention to is contact resistance between bus bar and cell terminal as that can be significantly higher than bus resistance and usually that is the main problem.