Isn't this a Gen III engine with a roller cam? It sounds like it is just idling, so what was the cam break in procedure for this cam vs. a flat tappet cam? What are the specs on that cam?
I have not been around any performance LS/gen III builds. I had a Gen I 406 sbc built for my 79 pickup: forged crank precision ground and re-heat treated, 10.2:1, aluminum heads and intake,roller conversion, full roller rockers, head and intake work, tri y headers, built th400 with some 4l80E internals, 32 element sprag setup and plenty of other upgrades, Gear Vendors overdrive unit, 4 wheel disc brakes, etc. It is a C20 and is built for hauling a load and towing, but it is no slouch when the air is nice and cold (carbed) and I get on it.
That doesn't sound like any BMW I have heard. I want to hear it with the exhaust hooked up. I doubt it will sound stock. My truck sounded mean with a flowmaster super 44 series, but I switched to a 70 series to quiet it down. People still know it isn't stock and it is a night and day difference from the 88 350 tbi in my K5 blazer, which has the same muffler.