Let me be clear: My lyrics make NO sense!
Especially when one considers the line that follows.
The real line, of course, is, "Will you (Can you) colorize my life? I'm so sick of black & white," which naturally makes a billion times more sense.
But I quite like "cauterize." One cauterizes a wound to stop bleeding and prevent infection. As an idiom, "cauterize" often refers to ending (wiping out) one part of life and moving on to another. I thought it fit perfectly into what the female vocalist is requesting--Will you take me away from my current life? Will you help me change?
Of course, he responds, but I will never change.