I don't feel this is iterated enough in my school. In Tang Soo Do, every single block is also a strike. I think if people had the mindset of "low strike" instead of "low block", they would have stronger techniques. A more aggressive mindset such as this permeates the idea that, not only can you block the person's kick from hitting you, but you can also perhaps shatter his ankle in the process and thus disable their leg for the rest of the fight. Do your schools teach this principle?