From my layman perspective, yes the measured gravity would be double it’s original value if measured from the same place.
Gravity is an exponential function, so it gets weaker at an exponential rate as you move away from the source. But even if it’s a value of 1.0 at Earth’s surface and .02 at some distant point from Earth, doubling Earth’s gravity would double both values to 2.0 and .04, respectively.