De Rossi has proved that he has the ability to take Roma to greater heights. His performance after Mourinho left showed that he is indeed the right choice for the job. Top-class football is a product of quality players and I think Roma is lacking some key players. For them to compete with these big clubs in Seria A, they need to spend more money in the transfer market. Mourinho once complained that the club was not releasing funds for signing the players he needed. Players like Chris Smalling, Lukaku, and Tammy Abraham to mention a few are not dependable. They need to be replaced by better players. I read that coach De Rossi is targeting Mats Hummels and Andrea Pinamonti which is quite encouraging but they need to do more if they want to compete favorably.
It must be admitted that De Rossi has indeed succeeded in improving AS Roma's performance but after seeing their transfer rumors as you said above then I don't have any more hopes for them, Mats Hummels is 35 so what to expect from this player other than waiting for an injury or Andrea Pinamonti who failed to save Sassuolo from relegation then we hope he will make changes to the Roma squad? Honestly, this is hard to understand I don't know what the coach's plans are if he brings in these players.
I think AS Roma is still in the same problem, financial problems so they don't have many options to bring in players this means that the players currently being targeted are just replacing players who have moved, yeah we can't completely underestimate AS Roma and De Rossi at least we have to wait to see how he strategizes with these players.