This absorption spectrum "rule" has been discussed before and should not be relied upon.
It's not the amount of energy carried in the individual photons that makes the difference. Whether those photons get absorbed by a particular material--as defined by the absorption spectrum--is what matters. For example, the thermopile sensors of laser power meters are coated with a surface that is supposed to absorb most wavelength equally; therefore, a simple reading of the absorbed power is sufficient to determine the power of the laser. A meter using a photodiode sensor, however, has a different absorption spectrum and therefore any meter must account for the wavelength in determining what power was actually measured.
The typical materials people burn with their lasers--organic materials--just happen to absorb light in the near-UV range better than longer wavelengths. That'll change if you try burning some other material, or if you add pigments to your material that change the absorption characteristics of your material. This is why people sharpie their matches or paper to make such materials burn better.