Thank you for the clarification. Best way to get the right answer is to post the wrong one.

Whoops! I said exponential instead of inverse squared. What a crackpot I am.

From my layman perspective, yes the measured gravity would be double it’s original value if measured from the same place.

Gravity is an [edit: inverse squared] 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.