I have a Gaia and an Iris, and still use them both in different setups.
My personal subjective impressions having A/B'ed them on the same DAC/system: These DDC's don't change tonality. Your system will sound the same except that....
Both of these DDC's are detail/imaging/sound stage/holography/background blackness enhancers.
Details pop out more clearly, imaging becomes more precise. The layering of the instruments/vocals on the sound stage seems more precise, separated and defined, and you get a blacker background. Both the Gaia and Iris work wonders in the above departments (on a relative audiophile scale), the improvements in each of these elements is simply more noticeable and apparent with the Gaia as compared to the Iris. To me, the extra money is worth it, but I'm obsessively nit picky.
I've bought, compared, sold many DDC's over the years and Denafrips DDC's are really good. Before Denafrips, my favorite DDC was the Berkeley Audio Design Alpha USB, but the Gaia bumped it off the top shelf, and the Alpha is an amazing unit. Even the relatively humble Iris is a great buy and recommended. I've never heard the Hermes, but I know Alvin recommends it over the Gaia unless you want to push things to the bleeding edge.