A lot of people in the Corvette world mistakenly think that the only way to get a particular exhaust sound is to use a flat-plane crankshaft. You can show them videos of Corvettes with equal length headers and they'll insist that the car must have a custom crankshaft in it.

They're just as wrong as the people in the Subaru world who mistakenly think that "boxer rumble" is a thing. It's as if they never noticed that the "boxer rumble" goes away when someone puts an equal length header on the same engine, and it sounds just like a Honda.

The key thing is that the exhaust pulses reach your ears with equally-timed intervals between them.

Flat-plane cranks make it easier to get that result, but cross-plane cranks sound the same if the header has an equal length between each exhaust port and the point where all of the pulses come together (which is usually an x-pipe, but in true-dual setups the pulses still "come together" at the exhaust tips).

People get hung up on the fact that the ignition events within one bank of an LS engine aren't equally timed, but that doesn't actually matter. The ignition events across the whole engine are equally timed, even with the stock cross-plane crankshaft. If the headers are equal-length, then the exhaust pulses will be equally timed when they reach your ears. And it will sound like a "flat plane" engine.