2014 was definitely a year that the demand growth greatly slowed down, even though it still grew some. From the same BP link:
Global primary energy consumption increased by just 0.9% in 2014, a marked deceleration over 2013 (+2.0%) and well below the 10-year average of 2.1%. Growth in 2014 slowed for every fuel other than nuclear power, which was also the only fuel to grow at an above-average rate. Growth was significantly below the 10-year average for Asia Pacific, Europe & Eurasia, and South & Central America. Oil remained the world’s leading fuel, with 32.6% of global energy consumption, but lost market share for the fifteenth consecutive year.
Although emerging economies continued to dominate the growth in global energy consumption, growth in these countries (+2.4%) was well below its 10-year average of 4.2%. China (+2.6%) and India (+7.1%) recorded the largest national increments to global energy consumption. OECD consumption fell by 0.9%, which was a larger fall than the recent historical average. A second consecutive year of robust US growth (+1.2%) was more than offset by declines in energy consumption in the EU (-3.9%) and Japan (-3.0%). The fall in EU energy consumption was the second-largest percentage decline on record (exceeded only in the aftermath of the financial crisis in 2009).
The other way to look at it is China and India continue to show impressive oil demand, which means the China story is not over, as I had originally thought. China's economy continues to boom.