Apis mellifera is a much better pollinator for most cultivars produced by agriculture around the world, so it's been introduced into East, South and Southeast Asia too (and it's pretty closely related to Apis cerana anyway, and they get along OK).

Also, you're not accounting for species uniqueness, which is highest in Australia/NZ/PNG, southern Africa and parts of South America. These places also have native bees that are outcompeted and outright attacked by Eurobees.

The truth is complicated, but also simple - this invasive species we tolerate and even introduce because it massively benefits food production for humans.