We spent one Hunger Games watching the players freeze to death at night. You could hardly see them because they were just huddled in balls and had no wood for fires or torches or anything. It was considered very anticlimactic in the Capitol, all those quiet, bloodless deaths. Since then, there’s usually been wood to make fires.
you can never completely deplete a people of it's fuel. deprive them of everything and you are also deprived. the capitol's fuel is contingent upon the fuel they allow the districts.