It's A case of what you are doing, most tyres have a maximum tyre inflation pressure, the tractor has a tyre plaque on it or in the manual for tyre size and max pressure most suited to the machine. often lowering the tyre pressure to it's minimum working pressure or some where in between can make all the difference with traction issues and ground damage, this is often overlooked as most tyres are kept inflated to near or on the max allowable tyre pressures.
lower tyre pressures might reduce stability on hard or hilly ground but that is the trade off, tyre pressures should be adjusted to seasonal changes and ground conditions in your local area for best and safest operation, adding weight has a similar effect by forcing a bigger contact area with the ground also effecting stability and increasing ground damage, added weight can be a double edged sword, diff locks are a wonderful invention, knowing how and when to use the split breaks also helps in gaining traction, snow and ice are another kettle of fish I am glad I don't have to contend with.