We use a Makita cold cut circular saw at work it eats metal but when the blades go off they go off quickly, the teeth break up and the blade is scrap. They aren’t too expensive though and can do a fair bit of work before they need replacing.
The teeth are not sharpened dead flat on the face so I would say that even if your saw has only slightly dulled teeth then sharpening is going to be of limited value. If teeth are broken it needs sending to the bin.