Can an Induction motor be called a BLDC motor if operated from a DC supply?
You could call an induction motor driven from an inverter a BLDC motor, because, taking the meaning of each word, it is. 

However, once you'd done that, few people would understand you, because BLDC is usually used in the context of permanent magnet motors.

So, do you want to be pedantically correct, or do you want to be widely understood?

The history of the term BLDC is that it follows on from the Brushed DC Motor, which, since permanent magnets got good around 50 years ago were invariably PM rather than wound field machines. So the acronym has inherited the permanent magnet baggage. It's just the way it evolved.

There are many things where taking a literal meaning of the words results in nonsense, and I'll edit in a few examples later. Any interesting suggestions for them welcomed in comments.