Usually, no—paying more for a camera-brand microfiber cloth does not necessarily mean it cleans better. Small branded accessories like cleaning cloths and fluids are often made by third parties and simply sold under a camera brand name.

The key is not the logo but whether the cloth is a proper microfiber cloth intended for delicate optics or screens, and whether it’s clean and used gently. Many photographers use generic microfiber cloths successfully, including ones meant for LCD screens.

That said, lens cleaning always carries some risk if grit is rubbed across the glass. For loose dust, use a blower first rather than wiping immediately. If you do wipe, make sure the cloth itself is clean. Some users prefer disposable lens-cleaning materials such as PEC Pads or Kimwipes instead of reusable microfiber cloths.

So: a higher price or Canon/Nikon branding alone is not a guarantee of better performance. A clean, suitable microfiber cloth from a reputable source is usually fine, and using proper cleaning technique matters more than the brand.