Are living saints daemon princes of the Emperor?

I was looking at the living saint unit and according to their description, their belief in the God Emperor was so great that they tapped into the Warp without being aware of it, and acquired the ability to physically alter their bodies, resurrect themselves after death and throw holy fire around — which are the same powers possessed by daemon princes.

Has there been any confirmation or denial that these living saints went through the same process as daemon princes, by tapping into the power in the warp that is generated through believing the God Emperor is a god, thus turning them into Daemon Princes of the God Emperor?

Examples of things I’m looking for are:

  1. A villain hurling insults saying that these Living Saints are no different than Daemon Princes.
  2. A source saying that they are considered to be warp entities for the purpose of abilities.
  3. A direct declaration from one of the writers.