There is a fact we can not deny, they are getting better results in two latest matches than previous matches with Mourinho. We also can not ignore another fact that in previous matches, Roma and Mourinho had to play against stronger clubs so losing points is not something strange. With two winnings, De Rossi and Roma can move onward with more confidence about themselves and they need to beat strong clubs to prove that they are ready for top four. Brilliant form is not important and the ultimate purpose is joining top four.
I don't agree with this kind of view because De Rossi has only played two matches with AS Roma so comparing these two matches with Jose Mourinho's performance in two seasons is more or less inappropriate. AS Roma only got 3 wins after De Rossi became the main coach and this included a friendly match with Al Sahab. Maybe if you look at his personal the quality of the coaching, I agree that De Rossi has a good vision to become Jose Mourinho's successor because his coaching style is enough to give new hope to AS Roma.
The match against Inter Milan at home will be the biggest test for De Rossi because the rivalry between the two is quite prestigious and As Roma must win if they want to catch up in the standings. It feels a little difficult because Inter Milan are in good form at the moment and De Rossi will definitely have a hard time facing them.
I think maybe De Rossi because in the 2 matches they have played and won against bottom teams so it doesn't look like it's a big deal for them to win the match.
Indeed, at this time we are not worthy to give any assessment of De Rossi, let alone compare him.
So far, De Rossi has done his job well, but in the season which is still quite long, there will be many things for De Rossi to prove and can silence the many criticisms and doubts regarding De Rossi's coaching because he does not yet have sufficient experience.
I think Roma's performance is quite good but that doesn't mean I'm saying that Roma has become strong again because as you said the 2 wins were only against weak clubs and even in the next match they will also be against weaker clubs like Cagliari who are currently in relegation zone and I'm sure Roma will win and people will make this club proud, whereas we can't just say it's strong and only look at one side.
We'll see, before the European League match, Roma has to compete against Inter Milan and if in that match Roma still loses, I think Roma will still be the same as when Mourinho was coach.
if Roma is able to withstand attacks from Inter and can share the score to end the match in a draw and if Roma can survive this is an early sign that De Rossi is almost successful in making a good contribution for Roma.