I live in a part of the US where oil wells are very common. I have never been able to understand why most oil wells will be pumping merrily away until there is talk of an energy shortage. For some reason, the pumps seem to quit running. When the price of gas increases the pumps start again.
Failure to adjust the cycle can result in 'coning in' a well, to the point where it will only produce salt water, leaving a great deal of oil unproduced and unavailable to the wellbore (it ruins the well), or less than optimal production.
Your moments of observation may have coincided with the recovery part of the cycle, the differences may be attributable to the pumper changing the duration of the cycle in order to optimize production from an older well.
The only instance I know when price caused a slowdown in the rate of production was in 98/99. Lift costs exceeded the price of oil ($4.50/bbl for sour, $6.50/bbl for sweet crude in this area), and the Canadians were slowing their pump jacks down so they did not lose money faster.