Supernatural?
OK. It's a good two decades since I watched this film, but from memory Wolfe is not supposed to be a 'supernatural' character. Surely he is a Derren Brown of the Eighties, using hypnotism and tricks to do his stuff.
There's a scene where he becomes 'invisible' - but only to the person he's with (who he has suggested to that he is invisible). He is perfecty visible to the remote viewers watching on camera. (And this is the Harlequin reference).
Happy to be corrected...
Let's see if anyone tries to kill us and work backwards