I'm getting a bit bored with the repetition now, so if you have questions, I suggest you read back through the thread. So this is my last post on the subject, unless someone comes up with something new.
Here is the definition of extinction. Again. Right from the top, first line :
Extinction is the termination of a taxon by the death of its last member.
https://en.wikipedia.org/wiki/Extinction
Can you explain how that applies to homo erectus? The taxon was never terminated by the death of it's last member. It's been terminated arbitrarily, by an imaginary dividing line drawn in time by people. They don't know when that line falls, or who was the last homo erectus, and who was the first homo heidelbergensis, because it's an artificial imaginary distinction, it never happened in reality.
So the taxon was never terminated, there never was a death of the last homo erectus, and therefor they never went extinct. They just had their name changed, two million years later.