Swingweight is important. Add 20g at 12 and 20g to the buttcap in one racquet. Then add 40g in the throat to another racquet (same model with identical specs). You will have approximately the same static weight and balance, but the polarized racquet will feel much much much heavier.
No, I don't see that at all. The racquet is rigid member. It has a center of gravity/mass if you add mass at the center of gravity or equal half masses either side it does not move the center of mass. All rotation outside of the mass are directly relevant to the centre of mass. SW is a function of measurement of center of mass by the distance to rational point. It does not matter how you distribute the mass rather the center of mass which is a function of mass x distance (kg/cm) if you then extrapolate that to a Rotational Inertia (kg/cm^2) it's a function of the distance from centre of mass to the the rotation location.
Swing weight is calculated at 10cm up from the butt of the racquet. Which means SW is calculating Rotational Inertia as though the whole racquet rotates around this point. It does not and can not as that would require the arm and elbow to be stationary and wrist joint to be located at 10 up from the racquet, when holding my racquet my wrist pivot point is about at the end of the butt, but more importantly when I swing I use my arm and elbow to generate most of my velocity and therefore the SW calculation is poor representation of reality.
Where SW fails most is in the positioning of weight behind the 10cm pivot. I have about 15g of lead in the butt cap. According to SW calculation that is a (-) neg swing weight of about 1.5 kg/cm^2. This means that the calculation is assuming the mass added to the ridged body is lowering the bodies inertia which is completely wrong. As a result I've seem people say adding mass to the handle makes a racquet more maneuverable, which is a fallacy, it makes a racquet less maneuverable but adds inertia or stability to the racquet.
The reality is there is very little mass below the 10cm point of a standard manufactured racquet. It is a hollow graphite shaft with a plastic bumper, usually the reinforcement in the handle finishes before the end. However, if you start adding weight to a raquets handle in the form of descent amount of lead, 10g+ or silicon filling the handle the hole SW calculation becomes pointless as it does not correspond to reality.
Swing weight does not represent reality because it picks a pivot that is significantly incorrect. Swing weight would be more accurate to measure at 45cm away from the butt rather than -10cm. The 55cm would make a lot of difference as it's Massx
Distance^2 and represent something more functional.
I maybe wrong but my recollection of Swing Weight is that it appeared when Babolat brought out their RDC machine which I first saw around 1992. At that point no one mentioned SW as a racquet's characteristic as it effectively quantifies balance & mass into one number. The RDC machine was designed to match racquet's, not represent a playing stroke. SW was never meant to be used as a racquet's qualitative representation of play-ability, weight, balance and stiffness are all that's needed. I might be wrong as it's be a long time since I used a RDC machine but when I last used one to work out SW you need to first measure, weight, balance and then it determined inertia a a force applied to swing, thus calculating SW.
SW was meant for match pairing racquet's not numerically describing their play ability.
Anyway that's what my physics and engineering review determines. I could be wrong as I don't have all the information, but from the confusion about SW and it's play ability I think I'm close. I'm not indicating it's useless measurement, rather a measurement that still needs to be read in conjunction with at least to mass, balance and stiffness for any real world meaning.