Not sure I'd want to chain all 4 wheels on a 4WD. Traction is awesome if you do, and I did it myself for years - but use caution when the traction gets too good. There is a real mechanical danger of breaking something in the drive train. Tractors need tire slippage in 4wd to protect the drive train. If it is hard to shift back OUT of 4wd then there is too much "windup" in the drive train. Windup means eventual breakage.
If the tires cannot slip - as in AWD cars - then to protect the drivetrand and maintain steering a center differential is required between front and rear axles.
No tractor I'm aware of has that center differential. Possible Fendt or some European models do...
rScotty