For what it's worth, here is the way I do it:
1) Wash face with H/W, rinse with C/W
2) Keep face hydrated with C/W, make lather with C/W(this was counter intuitive to me, but Proraso just explodes into lather whatever temp water I use)
3) A normal 3-pass shave rinsing with C/W after each pass
4) Rinse with H/W to sterilize and open pores, then a final C/W rinse to close pores.
5) This is optional, but I love it: Rub an ice cube over your face, dry and splash on some heavily mentholated aftershave!
The theory is, if I recall, that H/W, in softening the beard, makes it more elastic and actually harder to cut, whereas C/W closes the pore around the hair and supports it so it stands up straight and is easier cut. Works for me!