I wouldn't use an Absorber with ONR. But like anything else in this racket, you have to try it first and see for yourself.
My understanding is that ONR works by encapsulating dirt particles in the ONR solution. Then when you dry the car, you absorb the ONR solution, and the suspended dirt, into your towel.
The debate about the Absorber, has always centered around the fact that the towel "clings" directly to your paint and any dirt trapped between the two will get dragged along the surface as you move the towel. That's why MF always wins that debate, it can hold dirt in its fibers and off the paint.
Also, anyone who uses the absorber will give you this advise: RINSE. It's great for drying, but if dirt gets underneath it, you're screwed. In otherwords, the surface of the car must be absolutely clean and free of loose debris for the Absorber to work without scratching.
So if the key to using the Absorber is to RINSE, and ONR stands for Optimum NO RINSE. I would think that the two are incompatible.
If you are going to use the absorber, I would suggest laying it flat on the surface of the car, letting it absorb what's there, then lift it off without moving it across the paint. Rinse and wring it constantly.