That has been one of the concerns with the proposed Alaskan Gas Pipeline. Some have explained taking the gas pressure down too early will result in lower total dollars for the state.
And the water injection project begun more than a decade ago has probably not caught up to replace the void left by the oil removed before the water injection began.
Most times, we figure out that unless we begin water injection for voidage replacement with the first barrel of oil pumped we never catch up. Perforations can only take so much water so fast.
Blowing down the PBU gas cap too fast most likely will reduce oil recovery. Because we can recover gas just about any time we usually figure on recovering only solution gas until primary recovery ends and then we produce the remaining gas cap. In a time value consideration this makes the gas more-or-less worthless as a portion of NPV. But boy what a dividend producer someday!! Of course, by that time someone is finally looking at how to pay for abandonment.