Generally yes. Don't forget that the system operates globally and on a far grander time scale than we comprehend. De-forestation and urban sprawl are problems because once cut and cleared, they are not replaced. It's not the cutting of the trees that is a problem, it's the failure to replace them.
When a plot is cleared of brambles, hopefully the plotholder immediately sets about planting new plants that will absorb their share. Burning or composting both release carbon to the atmosphere mostly in the form of co2, a bonfire taking 2-3 hours while the composting process takes 2-3 years maybe to complete. Nothing compared to driving to the lottie in the car burning fossil fuel 100s of millions of years old.