Spiffy, I can only say yes it would. But while a DE razor can be very gentle, some can be very agressive. Like a Merkur HD Slant with a Feather Blade can take off layers of skin if you aren't careful.

If you want some suggestions from guys who are wayyyyyyyyyy more qualified than I, check out www.badgerandblade.com. Many guys there have forgotten more than I will ever know on the subject.