It would not hurt, but it would be an arduous and unnecessary task. Most people know the difference, and if you do not, you can read the Wikipedia article on IDE. There is no need to have a discussion on the differences, it is not remotely interesting or fruitful.
I guess what annoyed me was that after thebeardedone said he'd googled for 15 minutes trying to figure out the difference between VS Code and VS, 4 answers to his post gave absolutely no clarification as to what the differences were, including yours. If you look up the definition of an IDE on Wikipedia, VS Code falls into that category.