Final word on this subject (for now).
As previously noted, we are no longer calling the GDP Deflator by that misleading name; untill such time as the BLS models more accurately reflect reality, it shall be known as the GD Inflator.
Here is a visual depiction showing precisely how the Inflator impacts GDP:
The last chart is the one that really sums this all up — it shows the total contributions to GDP inflator from Imports.
This chart shows that but for the big price increases of imports (primarily Energy), GDP would have been negative:
charts via Jake at EconomPic Data