If you have wet ground you have problem that run much deeper . Discing soil in the fall greatly increases wind erosion alomg with the soil compaction thats causing you wet fields. Yes that disk will affect your no-till structure.

Is disking the same as tilling?

High quality and healthy soil is the base for successful farm management. ... Disking is a soil preparation practice that usually follows the plowing, whether it was deep or shallow soil tillage. Plowing cuts, granulates, and inverts the soil, creating furrows and ridges.

What is considered no till?

No-till farming (also known as zero tillage or direct drilling) is an agricultural technique for growing crops or pasture without disturbing the soil through tillage. No-till farming decreases the amount of soil erosion tillage causes in certain soils, especially in sandy and dry soils on sloping terrain.