Well, the BBC doesn’t seem to think so:
BATTLE FOR EARTH Homo Erectus vs Homo Sapiens
https://www.youtube.com/watch?v=ZF5nQN5Ekp8
Not saying you are wrong, but they are saying Erectus hunted and ATE Sapiens...
And it came to pass that Homo Sapiens looked upon Homo Erectus and saw that they were tasty.
And thus, bbq was invented.