A Genres Spectrum

As a generalization, extraterrestrials appear in sf and supernatural beings in fantasy. Everyone immediately thinks of counterexamples: Heinlein's Martian Old Ones; CS Lewis's eldila; Brian Aldiss's Helliconian hereafter. Poul Anderson wrote both sf and fantasy but kept them apart although characters from both genres meet in the Old Phoenix. This post addresses the status of three works forming neither a trilogy nor a Hegelian triad but maybe a spectrum.

In Poul Anderson's The Game Of Empire, Axor, a Wodenite convert to Jerusalem Catholicism, believes in Christ but does not experience any direct communication with him. Thus, Axor is an extraterrestrial who believes in but does not encounter the supernatural. This novel is sf.

In Lewis's Perelandra, Elwin Ransom visits Perelandra/Venus and meets its inhabitants but is also directly addressed by Maleldil/Christ. Thus, Ransom meets extraterrestrials and encounters the supernatural. Is this novel both sf and fantasy?

In Susan Howatch's The Heartbreaker, Gavin Blake lives in the same world as the rest of us but recounts what he describes as a telepathic conversation between himself and "the Bloke"/Christ. Thus, Gavin meets only terrestrials but apparently encounters the supernatural. Is this novel mainstream with an element of fantasy?

Such questions transport us a long way from The Interstellar Medium but Poul Anderson is encyclopedic.