Space gives you a replacement icon for your time and attention sucks of choice, whether it’s Twitter, Facebook or Snapchat.

OTOH the easiest way to do this would be to have the Space app help to automate creation of Safari shortcuts on the home screen (which would be called Twitter and show the correct icon), which launches a hypothetical page in Safari like https://twitter.space.usedopamine.com which would show the pulsing animation for 12 seconds, before launching the actual Twitter.app.