Sacking Mourinho now is a bad decision. You don't expect them to keep him till things get worse than it already is? They're 9th on the table and I don't see how there can be a turnaround this season with Mourinho in charge. Mourinho is a manager who has a short-term impact on any team he manages, so if good results don't come, there's no point keeping him for long hoping for things to change.
I also think they were to quick in letting Mourinho live the club, I'm not too convince that they both pathways in good faith between him and Roma but I think I saw one of his videos trending on Tiktok some few weeks ago making some dancing moves, maybe he wasn't too focus that's why they let him go.
Joke aside, if there is no selfish interest going on in that club, Roma are still in good place because even he last season, they needed in 6th place to qualify for Europa conference league and now they are in number 9, it's not good and the same time it's not poor to me.
As for De Rossi, the contract was a short-term contract. He's a legend of the club. Someone who knows the club well and understands what the club wants. He might be a bad decision since he's inexperienced or he might be what Roma needs right now. Either way, it's a short-term contract so there's no big deal about it.
Someone who knows the club is the new trend of managers teams are now using to guide teams. Maybe they are inspired by Xavi and Arteta journey so far but even if it he didn't meet to their expectations, the contract is short and he can park his luggage's and live immediately but I'm sure he wouldn't want that for himself. He will improve and do more to get that permanent place in Roma. I just hope the team connect well in order to impress the team because it's one thing to work is another for the team coperation.