Add template suggestion for image templates based on field name and/or content type

Problem/Motivation

It's pretty annoying to do anything with the image tag directly, even add a class.

"add class on image Drupal 8 field_image"

Even adding a template suggestion is difficult! https://drupal.stackexchange.com/a/257721/4195

Is this moot, or merely exponentially harder, in the media world?

Steps to reproduce

Remaining tasks