I was in the Phillips camp for years, carrying only Tinkers and Tinker-derived SAKs like the Fieldmaster, until I bought a Handyman and then an Explorer with Christmas money in the past few weeks. With the Handyman, I had to "settle" for a corkscrew to get the rest of the tools...at which point I discovered how useful the corkscrew is for undoing knots. The Explorer, of course, has an in-line Phillips driver, so I get the best of both worlds. I guess I'm saying that I no longer have a strong preference for one over the other.
...That is, provided the corkscrew has the eyeglasses screwdriver. Not only does it provide additional functionality, but it also fills in the gaps of the corkscrew and thus makes it more comfortable as a thumb-rest while using the small blade.