I can‘t comment on any 3D punch. And I also haven‘t watched the demos, sorry.
But I never had any issues with headroom whatsoever. You can of course drive the preamp and the more you drive it, the more the internal limiter will squash the feedback. But that is by design and sounds pretty great to my ears.
There also is the Texture parameter on the second page of the pedal that can have an influence on the sound of the preamp, depending on the delay mode you are in.
I personally think it sounds fantastic, but I am also biased.
Edit:
One thing comes to mind, maybe that is what you mean: The Preamp can also drive the dry signal, that is the standard setting, but you can disable it. I prefer to keep the dry signal clean.