Not true. Energy is the number#1 supply factor input cost. Lower that, and the supply curve shifts right, along with a commensurate price decline and GDP increase. In laymans terms, the consumer gets richer as energy gets cheaper. More money is freed up to be spent on other things (cars, appliances, homes, vacations). Put another way, as energy gets cheaper, the economy grows faster...
Think about the flipside....if oil were 500 dollars a barrel instead of 50, how much would the average consumer spend on energy as a percentage of their income? More or less? How would that effect spending in other categories, given expenditures are zero-sum (when one category is more, another must be less)? How would that impact living standards (go down, or up)?