I noticed it seems like BB is getting hung up on the flow rate of the oil pump, at least as part of his problem. The oil pump is not fed from the oil filter or oil accumulator, so its flow rate has little to do with this. It won't be consuming any oil from the oil accumulator, at least not directly. So the rate at which the accumulator oils the engine has no impact on the oil pump during loss of pressure, or how much oil the accumulator can provide for that matter. Remember, the oil pump pickup is in the oil pan, full of oil at start up. While running whenever it loses oil supply, the accumulator still has no impact on the oil pump. If you were to lose oil pressure for more than a minute, an oil accumulator wouldn't be able to help you out but a minute is a rather long amount of time when dealing with an engine, even during start up. Oil temperature is a different story and this is where the cold oil grade comes into play.
A quarter mile run is over inside 15 seconds, a hard corner on a track, with braking and accelerating, lasts less than 10. In 30 seconds at 6000 RPM, you're engine has turned over 3000 times. In 1 second, 100 times. At say 1000 rpm idle and start up, your engine turns over 17 times a second. The rate at which the oil moves from the accumulator to the engine will be determined by two things: The precharge pressure and the cold viscosity of your oil. I wouldn't rely on the hot viscosity because oil in the accumulator will not always be at operating temperature. 80-90% of the wear on your engine happens when the oil is not up to temp, which is mainly cold starts when the engine is dry. At idle, your engine only needs about 10 psi of oil pressure, per the 10 psi of pressure per 1000 rpm rule.