Exhausts flow in pulses caused by the opening and closing of the valves. A standing wave is the drone you get in steady state driving (on the motorway) where the pulse frequency matches the resonant frequency of the exhaust assembly and it vibrates in sympathy like an church organ.
Pops and crackles are unburnt fuel air mixture from incomplete combustion, they are always there, they are just absorbed by the silencer/Resonator which is a crossover made from perforated pipe inside a sealed box full of wadding. The silencer / resonator acts as a pressure wave terminator, so the exhaust pulses are merged and the pulse intensity reduced so noise at the tail pipe reduces.
On a cross plane V8 the firing order is not even, so there are cylinders on the same bank which fire close together and so their exhaust pulses are close together, while there is no exhaust pulse on the opposing bank. The theory of both a X and H pipe is that they allow the exhaust pulse to crossover to the unused other side of the exhaust, reducing the overall back pressure and making a bit more power. In our case, the removal of the silencer increases the noise level and the geometry of the X or H pipe changes the quality of the sound, but a non linked system would be noisier than both. In general H pipes benefit engines at lower engine speeds because they crossover more readily at low gas speeds, X pipes are better at high engine speeds because they crossover more readily at high gas speeds.
In summary then, the removal of the silencer increases the noise level and allows the exhaust pulses to reach the rear silencers, increasing the quality and level of the noise. The crossover design alters the way in which the exhaust pulses crossover into the other side of the exhaust system, altering the sound.
As an interesting aside (maybe), I have just read Adrian Newey's book, How to Design a Car, and he wrote about the impact of exhaust pulses on the aero of the RB8. The exhaust pulses at the tip of the exhaust formed a toroidal pressure wave, like a smoke ring, at the end of the exhaust, which was messing with their efforts to use the exhaust to reduce the impact of turbulence from the wheel on the diffuser. To combat this they enclosed the exhaust tip on three sides and Renault installed a resonator in the exhaust, basically a large extra bit of pipe capped at one end and plumbed into the exhaust before the tip. This absorbed the pulses and smoothed the flow, the smoke ring was prevented from forming, and they won the world championship.
In my opinion, the Namaste's pipe will act a bit like an X, but the crossover at high gas flow will be minimal so it will probably be quite loud.
