Hi Matucha,
Yep, Ivo nailed it very correctly in my opinion. I would describe it in the very same way.
And there is something else to the Lavry too which I find hard to describe, like if the other convertors I experienced were made up brides, but the Lavry in comparison a true beauty who´d touch you through her silky negligee if you know what I mean. Silk is indeed the first word that comes to my mind for it.
In the night when I listened to the first takes made with it through a great pre, not only that I couldn´t stop listening until early morning, but it was an emotional event.
Lately I had a guy here who is used to his digital mini recorder from Zoom or something. When I played his tracks back he didn´t show a sign of surprise and I was really perplex about that. Told him that he should bring a track of his over so that he could listen to the two qualities side by side and recognize what the difference is.
But then again that guy is total ignorant anyway with no taste. He insisted to track with his shitty sounding Takamine guitar, although he could had used much better instruments here, and besides behaved so disrespectful against AE realm ( didn´t even let me position mic and tweak the gear for more than 5 minutes ) that I understood him to be the wrong person for colaboration anyway.
I´m telling this to say that listening to a track made with such a convertor should show an obvious difference to people with ears.
Only deafs like the guy mentioned above wouldn´t.
To answer your question: The Mini is not on the heavy side compared to lavry. I think you don´t need to compensate the Apogee, because its balance is fine the way it is. The difference the Lavry makes is based on encreasingly captured tonal information.
Greets,
Ruphus
PS: And besides, Matous, wanna thank you one more time for the kind tip you and Milan gave me. That was so helpful.

Thanks a bunch!