How to enable verbose logging to the console with puppeteer?

I have a nodejs app that uses puppeteer to take screenshots. I have enabled the dumpio setting when launching puppeteer, so that the content of the browser console is dumped to my console (nodejs app):

const browser = await puppeteer.launch({
    dumpio: true
  });

This works fine, but I would like to gather ALL messages that you can see in Chrome devtool's console, such as network requests.

There is a Debugging Tips section in the docs that indicates that is should be possible:

6. Enable verbose logging - internal DevTools protocol traffic will be logged via the debug module under the puppeteer namespace.

 # Basic verbose logging
 env DEBUG="puppeteer:*" node script.js

 # Protocol traffic can be rather noisy. This example filters out all Network domain messages
 env DEBUG="puppeteer:*" env DEBUG_COLORS=true node script.js 2>&1 | grep -v '"Network'

But when I set the environment variable DEBUG="puppeteer:*" in my nodejs app, I do not get that extra info logged to the console.

Is there something that I'm missing or that I'm not doing right?