Burning crop residue is a good way to lessen the initial cost of replanting a crop.
It is a bad way to cycle the nurtients back into the ground. Yes, some of it goes into the soil, but a lot of it is lost.
Wheat stubble contains a pile of nitrogen....why would you want to burn that up? Just takes more store bought fertilizer to continue.
You leave the stubble and straw if you're no-tilling beans after wheat, as the wheat reside will aid in controlling weeds and conserving moisture. But, if you follow wheat with a crop like tobacco, you want the wheat residue removed in order to make a good seedbed, and also the straw tends to rob the young tobacco plants of moisture if it comes into contact with their root system.
