The exhaust gases don't know what sort of motor they are emanating from!
The 'cool sound' is caused by evenly spaced exhaust pulses discharged into each collector. The traditional V8 'beat' of a non crossover system is caused by the uneven firing intervals on each bank. The crossover system ensures consecutively firing cylinders discharge alternately into each collector thus you get evenly spaced pulses in both tail pipes.
There was a guy here in the heyday of F5000, racing a Begg with SBC with crossovers. Sounded good, but in a singleseater the extra weight and complication is not always worth the trouble.
FWIW, a flat plane crank with a 'normal' V8 exhaust system, i.e. four into one for each bank, will sound the same as crossovers with a 'normal' crank for the same reason. Evenly spaced firing orders into each pipe.