The problem with definitions is that they are all wrong when you try to apply them outside mathematical models. Descriptive terms are more useful than normative ones when you are dealing with the real world. Their meaning naturally evolves when people understand the topic better.

General intelligence, as a description, covers many aspects of intelligence. I would say that the current AIs are almost but not quite generally intelligent. They still have severe deficiencies in learning and long-term memory. As a consequence, they tend to get worse rather than better with experience. To work around those deficiencies, people routinely discard the context and start over with a fresh instance.