In a nutshell, yes. We've had no problems in either of the Oliver's we've owned with the refrigerators cooling abilities in any temps. And the way they are installing them now, is even better than the way ours is. I don't think you'll have any problems.
Routlaw,
Were you using the LP gas mode in GNP? Absorption refers cool the freezer before the frig and can work well for freezing while not adequately cooling the refrigerator compartment.