in terms of price,durability ,security eytc
Metal is more secure, plus it won't warp with moisture. Also, the finish can be washed, instead of painting or staining.
Metal frames/doors are primarily for commercial applications. A higher fire rating can be easily obtained with a metal door and frame. Also they are more secure if installed properly. Metal frames that are installed in block or concrete walls are usually grouted full of a cement based grout and are very strong.This grout (milk shake thickness) is pumped in the top of the frame through a hole made for this. The metal frame also holds door closers and panic bars much better than a wood frame would. The metal frame will hold up to repeated bumps,bangs and scrapes ( like in a hotel) much longer than a wooden frame would. That is a nutshell of the difference
