From https://issuetracker.google.com/issues/128314303 :

Android has been lacking support for Rumble in controllers. Wired, BT, and other wireless controllers have no way to use Rumble at all. Game dev's have created a pseudo-workaround when playing directly on a phone by using the haptic/vibration to generate a "rumble".

With more people using Android devices for gaming, this feature is necessary, especially for entertainment centers based around Android TV. People are using Android TV devices, such as the Nvidia Shield, but are missing out on Rumble when playing any of the Android games available. This leaves it behind devices such as the Xbox One, PS4, and Nintendo Switch, which all sport rumble as standard in games.

Google's response:

Status: Won't Fix (Obsolete)

Thank you for your feedback. We assure you that we are doing our best to address the issue reported, however our product team has shifted work priority that doesn't include this issue. For now, we will be closing the issue as won't fix obsolete.