i2S clock question

So, I’ve recently added a Denafrips Iris DDC to be able to feed my Musician Pegasus R2R DAC via its i2S input via its HDMI i2S input, and compared to feeding it directly from an SPDIF or USB input the positive results are significant and very apparent.  While I’m aware of the separate internal paths of the i2S connection versus other connections and despite many searches, I can’t find a definitive answer as to how the clocking works in the end.  I know the Iris re-clocks the data and sends it via a separate line within the HDMI connection to my DAC, but I can’t find a clear answer as to how the re-clocking of the DDC works in conjunction with my DAC. Does the re-clocking of the DDC override the re-clocking of my DAC with an i2S connection, or does it just feed my DAC a cleaner signal that allows my DAC to work better and more efficiently given its own re-clocking abilities?  Am I subject to the re-clocking of my DDC alone or is it a combo of my DAC and the DDC working together with an i2S connection?  Thanks for any thoughts and experience!