The human body is an incredible source of moisture. When you climb into the suit, the body is most of the volume of the suit with a smaller amount of surrounding air. The compressed air in the tanks is generally quite dry. So now the suit is closed, and these three elements (person, extra air, tank air) mix and search for equilibrium.
So dryer air goes into the lungs, which are near 100% humidity and you then you exhale very moist air.
https://www.npr.org/sections/krulwich/2013/06/19/193556929/every-night-you-lose-more-than-a-pound-while-youre-asleep-for-the-oddest-reason
“As we exhale, our body moistens the surfaces of our lungs and the air we exhale, now warmed to approximately 90F has a relative humidity of almost 100%. At 90F and 90%, each gram of dry air we exhale (that is, the air we exhale minus the weight of the water vapor in it) also carries with it 0.0272 grams of water vapor.”
In very short order, the air surrounding the person is near 100% humidity and there is a very limited ability to remove moisture. The internal surfaces of the suit get wet, because there has been nowhere for the moisture to go.
So yes, there is a priority to get the additional moisture out of the suit.