Hi, this is a really good explanation. Also i want to make a comment about this, because my research is about this kind of laser systems and micromachining.

First of all, transmission of the glass too high for industrial laser systems such as Ytterbium, Erbium, Thulium etc. How can we see any ablation then? The answer is intensity on the material. The intensity depends on peak power. The peak power of your source is related to average power, repetition rate of your system. If you can get an above intensity which is higher than ablation thrashold for the material you can ablate it as you mention. Glass has a good property here which is that transmittion for below threshold intensity is almost 100%. So you can focus your beam inside the glass and you can ablate (make cracks) easily.

Have a curious day..