Parallel designs are possible (Cobs themself are series strings in parallel), but then you have to worry about slight variations in the diodes forward voltages at the desired current.
The 4 cobs will split the 7.65A, but nothing guarantees it to be evenly divided 4 ways.
@MrFlux uses 5 parallel strings of 5 vero 10, but has to carefully puzzle it together so the forward voltage of each string at the desired current is equal. This might be hard to do with cxa3070 since mrflux was dealing with strings of 5 whereas you'd be dealing with "strings" of 1, which means less combinations to try to get forward voltages equal..
The advantage to 1 long string is that it's very easy to regulate the current. (it's the same throughout the string). Anything on the same string is guaranteed to have the same current.
7.65A would also require very thick gauge wiring where the 4 cobs meet the supply to handle all the current. The higher voltage solution would require better wire insulation and care whereas the higher current version is harder to regulate and needs fatter wires.