I have a Dead Rabbit SQ as well, on a mech mod, and also have a 2 strands parallel build. I run it a much higher power though (or more precisely, much higher heat flux).
With your build, 21W is a heat flux of around 155mW/mm2. That's pretty low, so the vape is cold and kinda "weak". Nothing wrong here, it's all about taste, but it's cooler than what usually "fits" people (between 250 and 350 usually is a warm and tasteful vape).
The flavor you get should be similar to the one you had with one strand at 10W though. It's gives an identical vape, but with twice the surface area, so twice more, but I wouldn't expect the flavor to be twice as present.
If the amount of vapor is putting you of, you should try a smaller build (maybe one less wrap), with the same power it will give you a warmer and thinner vape that may be better for your taste.
For this build, you could try a wattage around 35, the vape will be much warmer, but the flavor will be much better! Keep your airflow wide open when trying this though, and pull a bit harder with your lungs.