For the record the Muppet workshop really only uses two methods for cutting straight and perfect lines when patterning out a puppet. Razor blades are the most used choice by the shop, and second would be the band saw.
No matter which way you go, the blades go dull very quickly. Sometimes when carving a head maybe you get only four or five good cuts, after that the blades tends to pull on the foam and doesn't glide as well. This doesn't mean the blades aren't plenty sharp for other things. Using oil for lubrication sounds like a really smart idea, although I don't think I ever witnessed one person in the shop do it, for the simple reason that we'd just go and get another new box. We were very lucky and also spoiled that we always had endless amounts of puppet building materials. Oh, how I miss it soooooo!!! You can bet that I'm oiling razor blades like crazy now. If I remember correctly we averaged about a dollar per razor blade and probably used between 30 to 60 on a puppet head sometimes. The simplest things drive up the price of construction on a puppet.