When you're talking about people living in an area of medium or high population density, burning tree trimmings for energy is an impractical solution which is grossly inefficient and has multiple disastrous externalities for the environment, even if it's technically carbon neutral.

It's better for the environment to sequester biomass inputs (e.g. tree trimmings) back into the soil and burn more efficient fossil fuels instead. Far from being merely carbon neutral, use of fossil fuels combined with sequestration of biomass could easily be carbon positive.