I chose "other". I use double blade guillotines, as those are the cutters I've always had. I primarily use the Xikar or Palio, but sometimes one of the cheapies I keep squirreled away in my glovebox or wherever for emergencies.
I no longer "cut" the cap off, so the type of cutter stopped being a concern to me. I score the circumference of the cap (parejo heads) by gently squeezing the blades closed around the cap and rotating the cigar around until the cap pops off. I think of it as "scalping" the cigar. It is always a perfect cut for me.
Again, I use a double blade guillotine simply because that's what I have around and I have made it my personal objective not to become enthralled in expensive accessories any longer. I mean, how many cutters do we really need? Any decent knife will do just fine.