Earlier quoted context omitted.
Meanwhile ~50% of the EE PhD graduates, and ~10% of the CS PhD graduates from my university are joining Intel on a regular basis. Intel has a steady funnel of smart international PhD grads who are usually fine with the comparatively lower pay.
Are the EE PhDs at your university better than the top undergrads? I ask this because a PhD is no guarantee of quality.
Top undergrads after a few years guided by competent people and managing to keep motivated will be way better than the average PhD graduate.