Regression: socket hang up when uploading and streaming with pipeline

Version: v13.10.1 (and v13.10.0)
Platform: Linux laptop-remi 5.3.0-40-generic docs: replace all instances of node.js with io.js because trademark. #32-Ubuntu SMP Fri Jan 31 20:24:34 UTC 2020 x86_64 x86_64 x86_64 GNU/Linux

What steps will reproduce the bug?

git clone git@github.com:rtbo/node-failed-upload
cd node-failed-upload
npm install
npm run test

How often does it reproduce? Is there a required condition?

Everytime

What is the expected behavior?

With node v13.9.0:

> NODE_ENV=test mocha

  Upload test
    ✓ should work

  1 passing (30ms)

What do you see instead?

With node v13.10.0 and higher:

> NODE_ENV=test mocha

  Upload test
    1) should work

  0 passing (25ms)
  1 failing

  1) Upload test
       should work:
     Error: socket hang up
      at connResetException (internal/errors.js:613:14)
      at Socket.socketOnEnd (_http_client.js:463:23)
      at endReadableNT (_stream_readable.js:1201:12)
      at processTicksAndRejections (internal/process/task_queues.js:84:21)