The acoustics in Paris are not exactly the same as in Berlin. I am not sure I would call them out dated either at all......
It really depends totally on person preference I think. Being at symphony hall in Boston recently, where I haven't been for almost a decade, i was actually kind of shocked. The so called "sweet spot" of the hall in the back balcony really wasn't great, the best spots were just above the orchestra in the balconies, but even so that was not perfect but much improved. I would call those acoustics out dated, but the hall is built that way there isn't much that can be done.
On the total flip side, the main concert hall in Beijing for example, you can literally hear a pin drop from any seat in the place. I have never heard acoustics so good. But I can see for example, old world style conductors or orchestras not liking that kind of sound, thinking it too sterile or something.
I would say the hall in Berlin is between those two, I personally think it is a nice sounding room, although the only piece I ever heard there was Gurre-Lieder that requires some 200 performers, so impossible NOT to hear well. But it has a clean but warm sound, if that makes any sense.
So I guess the short answer is they are similar, but not exactly the same which would really drill down to a preference thing. Although have they been refining the place since it opened? I haven't been there since maybe 2016, I think the alst time I was there it was to see LA Phil play Williams "Soundings"or Barenboim playing Schubert. Both sounded very good in that room.