I think it was not the right decision to fire Mourinho. Mourinho was a very experienced coach. Roma management should have given Mourinho more opportunities. And provided big funds to buy players. But Roma management was not interested in spending much money to buy players. They thought it was right to fire Mourinho.
After De Rossi became coach, we saw better performance from Roma in a few matches. But then Roma's performance gradually declined again. I think Roma's squad is not strong enough. Roma management should add talented players to the squad. Otherwise, even if they change the coach, Roma will not get the expected results. Roma's performance this season is very weak. Roma has only been able to win 3 matches.
Though you're right to an extent but as we know this football and a big business in that matter, the management of any team would have also considered such action as the best for them, when a team is not in there good peak the blame goes to the manager which is normal but the thing is no one can predict the future, with whats happening currently in Roma, I think the management may be regretting their actions by not allowing Jose Mourinho to continue managing the club because I don't think things would have been this bad if Jose Mourinho was still the Manager up till date.
Yea the were not ready for much expenses and also weren't sure if they would have recovered if they spend to get quality players, though there was no harm in trying to take risk, the current Roma is in serious jeopardy that needed an urgent rescue, no doubt mourinho is a good manager that got good qualities even his presence alone matters a lot because he's lively always ready to cheer his team up to make them believe that they can do it even when all hope is lost however you know as it's most club owners want quick result but not ready to risk some stuffs.
I love your conclusion and I concur to them, Roma need sophisticated players in the team and a good coach to get things done right if not I don't see how they are going to get what they want.