here is the main difference:
Dot peen alters the material surface by punching. It has been widely used in the industry of spare parts of the car like nameplate, auto parts.
Laser markings are clear and smooth. It is in high resolution, and very similar in appearance across a wider variety of materials. Since it doesn't have the direct contact with the samples. Fiber lasers are maintenance-free and require no process consumables. It can use in 100,000 hours. Low running cost.
Marking samples by hand-held marking machine：