I admit that De Rossi was really quite successful with Roma, what De Rossi did was not an easy thing and he is able to prove it now even though many people doubted it at the start.
Bologna suffered a defeat and that means that the distance between Bologna and Roma is currently only 3 points, with 10 matches remaining I am quite sure that De Rossi will be able to bring Roma to finish in 4th place in the standings.
De Rossi will have a successful season with Roma if he can help the club to take either a fourth or fifth position and be qualified for Champions League 2024 - 2025. Potentially Serie A will be given a fifth ticket to join Champions League next season if their clubs play well in Europe and maintain its ranking against other top leagues.
Roma are contributing for Serie A in Europe too so De Rossi will have double tasks with Roma, in Serie A and in Champions League. To be sure of qualified for Champions League, they need to complete Serie A in top four.
If this mission fails, it's hard to say De Rossi has a successful season with Roma no matter how many impressive performances he has with them.