Yes. In fact, thats the main reason why MT2 sounds as it does. I'm thinking about lack of dynamics and response to the playing techniques. Imho it's designed for young metal players, who want a good palm muting sound and scooped mids

But it's only my opinion.
Some years ago i experimented with this tone shaping stage. A little bit flattened response brings a lot of life to this pedal. A simplest mod would be to attach the series R+C in parallel to the gyrator and reduce the feedback resistance.
F.e. reduce the feedback R from 220k to 100k-150k, attach 2k2+ trimpot 22k + 470n between the -input of the opamp and the ground. The trimpot will regulate the amount of the full frequency range boost.
If the gain range will be too small you can tweak the 10k+10k divider just after the input stage or increase the gain in the second, clipping stage.
I think, only decreasing the gain of tone shaping stage, preventing it from clipping and making it deliver only a little bit shaped and boosted sound to the main clipping stage can improve the sound a lot.