Is it fieldable?

The readme and project page says "Display entities (via view modes) using fieldable blocks."

As far as I can tell, this is not true. It provides a block plugin that is not fieldable.

I would like to have a fieldable content block that has this module's capability of referencing another entity and selecting the display mode.

I'm not sure if this is the request in this is issue, or if that one allows creating referenced entities within the block plugin.
https://www.drupal.org/project/entity_block/issues/3361547 ✨ Add the field from entityblock to enable dynamic creation of blocks Active