Ultimately, as wind produced hydrogen becomes sufficient to replace all of the natural gas, the desirable goal will be attained -- that of eliminating global warming caused by the combustion process that fossil fuel burning contributes to.
You assume that alternating current (AC) is the only form of electricity that exists or can be produced. But with suitable rectifiers (diodes), the AC electricity that is initially produced using permanent magnets in the rotor of the generator can be changed within the generator itself to direct current. In this form the DC can be utilised immediately by means of electrolysers to produce hydrogen (and oxygen). Furthermore the voltage of the generator does not need to be regulated to restrict rpm to production of 50/60 hertz so there is no wind speed limitation.
With the immense storage capability of "empty" natural gas wells, there is probably no limitation on the hydrogen that can be accumulated. Don't forget that hydrogen can be stored, while AC electricity cannot.