Good grief, this is exactly what's happening in my tank...my Parrot (Boss) and Oscar (Brick) square off constantly to prove who's tougher...pushing, shoving and banging. My O is at the 6+ inch size and thick, the parrot a bulky 5". Hoping its a phase my O outgrows, putting in my biggest male parrot (Kong) in there instead would be chaos. It's been musical chairs since I got extra tanks. The female Parrot Patch stays alone since she lays eggs and has teeth and attitude (also huge).
Oddly enough they fight the most when I'm in front of the tank???? Go figure.
I need a cichlid dictionary. But what it looks like to me is that now the O is growing he's testing out taking over the tank. But the parrot is like ++++ that...parrots definitely show their 'devil' characteristics when big, even the shy ones. Boss is my most mellow Parrot and he's a punk at times, charging into a fight. Good thing they don't have the fangs devils have.