The turf tires compress because of the side wall construction design of that type of tire. Turf tires are designed to be soft on the lawn, that is essentially their mission in life. Because of that they are not the best choice for front end loader work and if you do a lot of FEL work, you may want to consider increasing the air pressure in the tires. The downside to increasing air pressure is that it will make the tires harder on the turf. If you are going to do some hard FEL work then I'd suggest loading up the air pressure for that task, and then backing it down to normal pressures after the job is done.
I don't know the specific tire pressure for the fronts of your particular tractor, but most tractors have very low air pressure so they don't compact the soil. For combines it is not uncommon for the air pressure to be as low as 12 to 15 p.s.i. The sidewall of a soft tire can add another 3 p.s.i. in pressure to the ground. Now if you had R4 industrial tires you'd not only have a tire designed for higher air pressure, but a tire with a more rigid sidewall that could easily add 5 or more p.s.i. to the ground above the amount in the tire. CUTs typically have more p.s.i. on the ground than things like a combine, but low pressure is really what the turf tires are designed to have to keep the damage to the lawn minimal and to prevent excessive soil compaction.
