Hey Hector,
looks like what you're doing is defo on the right track to remove undesired frequency bands of audio.
[Pre-note to say I'm not hearing something wrong - just adding this for other readers coming by later who may misconstrue that I'm treating this as an error. To me, it's a great piano sound (better off youtube) and these things are more personal taste and endless in variety, esp. once you start down the road to editing your presets. For me, the defaults are better than they have ever been and continue to inspire me, out-of-the-box.]
You can create narrower EQ 'notches' and more of them, focusing in on tiny aspects of any sound - the narrower, the less affecting it will be to an overall sound.
Do not forget the pre-EQ in Pianoteq which will allow you to trim any frequencies before they enter the model.
And the post-EQ (EQU3) parametric ones which will also allow great notching.
Also the main spectrum profile these can be critical to adjusting up or down overtones in a way which can seem simplistic but are dramatically important - even a small up or down to any of these. The manual is pretty fine for explaining it better - but if you want to remove high overtones, lower the the individual sliders on the right, and surprisingly, even by raising a little the first overtones, these come to the front and lessen the higher ones too. Balancing all this is half the fun.
Personally, I don't hear something I dislike - maybe, and please be aware, no matter your speakers or room, what you hear is going to be different to anyone in a different room/headphone combo and so on.
If you want note-per note and more tools, Painoteq Pro allows far greater control and more choices in how to balance the parameters across the keys - worth it, if you're dedicated to getting just the sound you desire.
But, if you are wanting to zero in on just particular harmonics, Pianoteq Pro gives great adjustments for this, including being able to affect those harmonics with a 'pen', including variants like a comb, several harmonics series, haircut etc.. so you can quickly make a 3rd harmonic go away, then haircut back in the areas you want to keep strong.. very versatile for making certain high zinging go away, or tweak for a softer (less overtones) or more inharmonic sound (just per note or any number or all at once) - mostly done for personal taste per piano, if not per note if you're extra keen on making a piano just the way you envisage.
There's also behind the Action button, 2 damper functions which may eliminate some harmonic behaviours, damper position and damper duration. These model how damper felt meets with strings. If you want to lose some harmonic resonance, you can try tightening these
Pianoteq Studio Bundle (Pro plus all instruments) - Kawai MP11 digital piano - Yamaha HS8 monitors