You are correct. It's called an Alter-ego airline. The end result is the same.
This is not an alter-ego. Everyone needs to take a step back and give the RAH pilots some breathing room. They have done nothing wrong, and I doubt they will do anything wrong. The decision to do flying for MEH was not theirs, it was Bedford's and Timmmaaaaay's. Until a lawful strike is called, the RAH pilots have no grounds to refuse any flying.