Didn't you read the article? "Tweaking the model" is exactly what they did! ....
The calculations rely on a technique known as smoothed-particle hydrodynamics, which subdivides the bodies and applies the laws of physics to each piece. Early runs tracked 3,000 pieces--leaving the iron core of the moon to be represented by just a single piece. Even the slightest computational imprecision could vastly overstate the iron content, in which case the computer compensated by reducing the impact angle. The result was a bias toward heavy impactors and light proto-Earths. Because Canup and Asphaug use 30,000 particles, they get by with a much smaller impactor. Everything--mass, iron, momentum--clicks into place.
They increased the number of tracked particles by a factor of 10 and re-ran the orignal model. I call that a "tweak." The only "dilemma" they had was that one over-simplified model didn't (mis)fit the facts as well as another over-simplified model. None of this tells us anything fundamental about lunar origin -- it's just a way to make (an approximate) moon, not THE way the moon was made.
Yeah, I read your article. You said, "Computer models ... can be tweaked to yield whatever answer you desire."
You just don't know what you are talking about.