Why doesn't the GPWS automatically lift the nose?

Like I understand computers hallucinating, but why can there not be something like "If pilot doesn't respond within 5 seconds preventing this, lift nose"
EDIT: I should rephrase this. I more mean like - is the concern of the GPWS trying to pull up the nose automatically so great that it's not worth having it be automatic?
Edit 2: yeah forgot about 737 max crashes. Sigh.
Edit 3: now I'm starting to realize that this is a pretty stupid question. Thank you people of reddit for informing me