Not really as per this note. The analysis is for US economy..
As oil still forms much of the total natural resource (oil +gas) consumption, decline in natural gas prices has not really impacted much.
Historically, oil and natural gas prices have moved hand in hand. However, in the past few years, while oil prices climbed to near record peaks, natural gas prices fell to levels not seen since the mid-1970s as a result of new hydraulic fracturing technology. U.S. consumer energy expenditures are still mainly driven by oil prices, so household energy bills got little relief as natural gas prices fell. Moreover, even though the United States has trimmed crude oil imports, they still equal a substantial share of gross domestic product.