I have exactly the same setup as you on my home system, except I use the “internal” stream option instead of Icecast. I can have the HD core playinf straight out of my home system, but, down in my workshop half a kilometre away, I can listen to the stream over my network.
You can only select different presets in the HD core > Audio Processing section, but the preset you select should automatically be heard in the stream (slightly delayed due to buffering). I say this without actually being able to try the Icecast option, but I am certain it would behave exactly the same way.