You might consider getting Pianoteq. It cost a bit and you need a computer to run it on, but with the software you can tweak your piano a lot. You can choose if it should sound newly tuned or not, a bit damaged or not etc. Im on a kawai ca 67 and struggle with the same thing. My teachers grand is so different. So I try to change the settings in pianoteq quite often, just to make myself more adaptable.
Rockefoten, welcome to to the forum and thank you for a valid suggestion. My dp has a few touch options so I alter them all the time. Still, it does not make the instrument any more responsive. I must however admit that I love one thing about dp - I do not have to listen to myself starting to learn a piece aloud. I just turn the volume down.