This could be an interesting topic to discuss!
Weight on the chassis of a tractor bears down on the axle carriers, axle bearings, and axles of the tractor, and in the case of a pulling tractor, almost all the weight, OR all the weight is on the rear axle with the driving wheels anyhow. Putting the weight IN the tires or on the wheels reduces the weight bearing down on the axle carriers, axle bearings, and axles by that amount. Just the torsion and forward pull of the tire to the axle carriers, and the reduced weight of the tractor chassis would be on the axles.
Years ago when the typical tractor pull had 5000#, 7000#, 9000# & 12,000# classes, it was normal for a tractor to run at least 2-3-4 classes. Between classes they'd throw on 6-8-10 rear wheel weights per wheel and some suitcase weights either ahead of the rear axle or on the frt of the tractor. Many different methods of installing the wheel weights were used. Typical JD method was using a large steel pipe the size of the round cast center hole in the JD rear wheel weights. When the tractor started moving the weights would turn, but once the tractor stopped, the inertia of those weights would keep the weights turning after the wheels stopped. IH tractors either used two channel iron bars inside the diamond shaped center hole or two pipes along the rims to slide the hand holds of the weights over the pipes. They didn't spin after the tractor stopped.
IMO, the spinning wheel weights would be just a large flywheel, once they got spinning they'd help keep the wheels spinning.
Far as fluid, many here have put WWF, used anti-freeze, even CaCl and beet juice(Rim Guard) in tires. My one FARMALL, the Super H had CaCl in the rear tires since before Dad bought it back in 1968. I put thousands of miles on that tractor running on the road. Fluid filled tires HAVE to have SOME air space in them, 90% fluid fill is as high as any tire mfg recommends, over that and you risk catastrophic tire casing failure, rippng the tire apart from internal pressure due to compressing the tire while driving over things. The internal volume would change as the tire distorts and as internal volume decreased the pressure skyrockets.
While running down the road, the fluid stays relatively stationary, a certain small amount does cling to the inside of the inner tube and goes over the top, but 99+% stays at the bottom of the tire. Fluid does cause weird tread wear on hard surface roads, but I can't say it "pulls" any harder than an equivalent amount of wheel weights or chassis weights. With wheel weights or chassis weights, the increased tire deflection unless air PSI was increased would probably make the tires without fluid pull harder. Quick way to check that would be to jack up both rear drive wheels and see how hard it is to accelerate them to a certain speed, or maybe getting them to speed them stopping would be better. Both with empty tires and fluid filled tires. Since fluid has very little internal "friction", I doubt there is much difference between fluid filled & empty tires. Fluid would have mass, or weight, and would tend to keep a tractor rolling after power was removed from the drive wheels by pushing in the direction it was moving from inside the tires. Since this test would be done on a stationary tractor that wouldn't have any effect.
There may be a difference in the way fluid presses down INSIDE the tire, concentrating weight on the tire contact patch. A tire over-inflated with air tends to only contact the ground in the center, a tire filled with not enough air PSI tends to have two contact patches on the sides of the tire and buckles in the center. The internal pressing down on the contact patch with the fluid filled tire was what was wearing out the old 45 deg lug tires that were on the Super H when we first got it. The 23 deg lug tires wore much more evenly. The 45 deg tires wore the very center of the tire down on the forward sides of the lugs, and the back sides of the outside ends of the lugs.
While I agree that lighter weight wheels & tires are quicker to get up to speed and stop, and less un-sprung weight helps with keeping tires in contact with the ground for improved handling, I'm not 100% sure that means much when pulling a CC down a realitively smooth 300 ft pulling track.
But if you guys that pull break axle parts using wheel weights & fluid, and don't with chassis weights, then all my typing up above is wrong. Might have something to do with the air filled tires absorbing the stress & shock of pulling.