I think this question deserves some
permaculture reasoning. Tillage is a cultural practice. It is a disturbance of the soil.
Permaculture planning for
sustainability requires determining the amount of disturbance achieves that goal in the overall goal. First level of disturbance: cutting off the plants that are there; affect the wind rain and sun disturbance. Second level of disturbance covering the soil for example with mulch which adds the complexity of that being incorporated into the soil over time or removed when the desired effect is completed. Third level of disturbance is pulling the
roots which exposes the soil and seeds to signals that they
should grow and cover it back up. Fourth level is turning the soil over so a deeper layer of soil is on top of the surface soil and what was on the surface. That requires the reorganizing so that buried soil becomes deeper soil and the deeper soil become top soil. is that what you want to accomplish your goal and can you sustain it as a continual practice or need it for an immediate goal? Fifth level of disturbance is to mix all of the soil and other things down to a certain depth. That requires the soil life that survives to restructure itself.
With good planning any of them can be sustainable and even combined in sustainable ways. Therefore tillage is one of the elements to be determined in your
permaculture plan. Each zone of the plan has its most favorable level for sustainability.