I have one too. Because the body of the keyboard doesn't cut off where the keys end, and supports so much of your wrist, you don't notice that it's so thick, the "desk surface" is just that much higher.
I have one of these too. I ended up not using it because I preferred my long-standing kinesis. It was quite comfortable though; my main complaint was with the switches -- I didn't like the Matias switches it ships with (I prefer Cherry Browns). I also felt that I wanted more thumb-keys, but that's obviously a preference I inherited from my longtime Kinesis usage :).
If the design appeals to you I do still recommend it despite not preferring it myself. The build quality was great. I don't have any comments in particular about the height, not something I noticed.
that sounds like an amazing product TBH-- does anything like that exist?