The last few weeks of gas rig count declines are really just reclassification of rigs from gas directed to oil directed. The rigs are still there and producing the same amount that they did before. Just that they are now being counted as oil rigs rather than gas rigs. In fact, they produce both oil and gas.
There are entire Natural Gas fields that have stopped production because of low prices. As Natural Gas prices rise, these fields will restart. I wouldn't expect Natural Gas prices to rise too far, there's a natural barrier.