The rate that a liquid can absorb a gas is described by Henry's Law. There are Henry's Law constants for pure water at atmospheric pressure and normal room temperature (actually a pretty chilly room, they use 60F). As you dig further into the physical phenomena you find that people have published factors and methodologies to adjust the constant for pressure (and all the sources I've found agree on the direction, but the magnitude varies from source to source). Some people have ventured to try to develop an algorithm for temperature, but not all sources agree even on the direction of the change and the magnitude varies widely.
Now to your original question, all the sources I've found agree that the "constant" changes with water chemistry, but I have been unable (with a lot of searching) to find anyone that would presume to quantify either the magnitude or the direction of the change. I've seen disolved O2 numbers for sea water and for distilled water over the years and they have never made sense--I'm thinking that the temperature effects are overwhelming the water chemistry effects, but the sample temperature is rarely captured with water samples so I've never been able to verify this. If anyone has a reliable algorithm for TDS vs. Henry's Law constant I'd love to see it.
David