Short answer

Choose diode for accessible non-metal engraving and light cutting, CO₂ for broader and faster non-metal cutting including clear acrylic, and fiber for direct metal marking. No source is universally best.

Diode

Blue-diode systems are compact and efficient for many woods, leather and coated surfaces. Clear acrylic and broad direct-metal processing are not their strength.

CO₂

CO₂ lasers suit clear acrylic and a wide range of organic materials. They require extraction and typically more maintenance, cooling and room than diode platforms.

Fiber

Fiber systems focus energy efficiently into metals for marking and engraving. Desktop galvo designs are fast but often have a smaller field than gantry lasers.