Golf IV / Jetta IV :: AEG Engine Constantly Stalls While Driving - No Diagnosis

2000 Jetta, 2.0 AEG engine with 220k miles, recently started intermittently stalling (about 15-20 minutes into my trip) while driving mostly on city streets but has also stalled on the freeway at 65mph. Fuel level is always > half full, verified against my tripometer. When it stalls, engine completely cuts off, all dashboard lights are all lit, and no power steering.

I have VCDS but know only enough to be dangerous My mechanic has no answers and I don't want to randomly throw new parts at this the car, hoping to resolve the problem. It's becoming seriously dangerous to drive, knowing it will die at least once on every trip. What's the chance the oxygen sensors need to be replaced ?

Symptoms

(1) Most of the time the engine just turns off, as if I turned off the ignition. Other times, I can catch the engine RPMs drop to ~300 and just hit the gas, which sometimes saves car from stalling.

(2) Immediately after it stalls, there is is rotten egg smell.

(3) Once stalled, the engine won't start back up again for at least 5 minutes. (turns over, but doesn't start)

(4) Confirmed error codes from VDCS: misfires on all cylinders and random

(5) Took it to my mechanic for diagnosis. They were unable to duplicate on a road test. Smoke test showed no vacuum leaks, road test monitoring data did not capture any additional faults, and found no faults running it heat soaked and parked. They captured sensor signal data and found no abnormal patterns. They feel replacing the O2 sensors is an expensive guess.

(6) Replaced the crankshaft position sensor after the car would not start at all, one morning. (discovered that the CPS tested at a faulty ~50k ohms). Bought a new one, installed it and it turned over immediately but the stall issue continues)

Fault Codes

Code:
18057 - Powertrain Data Bus
P1649 - 35-10 - Missing Message from ABS Controller - Intermittent
16684 - Random/Multiple Cylinder Misfire Detected
P0300 - 35-10 - - Intermittent
16685 - Cylinder 1
P0301 - 35-10 - Misfire Detected - Intermittent
16524 - Oxygen (Lambda) Sensor B1 S2
P0140 - 35-10 - No Activity - Intermittent
seen separately

Code:
16517 - Oxygen (Lambda) Sensor B1 S1
P0133 - 35-10 - Response too Slow - Intermittent

Note that I have been ignoring the ABS-related errors for 4+ years. (not a concern or priority). On the short list are ignition coil or crankshaft sensor. Both of which require my mechanic to replace, I think.