Greedy? What greedy are you referring to here, a team is trying to sign players in sensitive areas and you're saying they are greedy, no they are not. Manchester City or should I say Pep is no longer comfortable with Ederson in front of goal and wants a chance that's why they are pushing hard to get Donnarumma from PSG before the window closes. Ortega is not even in City's plans and their new goalkeeper can't start handling first team matches yet that's why they are going for Donnarumma.
I also think this is greed honestly. What did Manchester City sign Trafford for then? Didn't they aim to make him their main GK?

Now they are going for Donnarumma as well. I also think Trafford won't be happy with this news.
He is a talented youngster you know. He needs to play regularly not to rot on the bench...