I'm not smelling what your steppin in ..........
A double bevel file isnt as thick as the triangular (three corner) square file.
The single bevel is even thinner.
The triangular (three corner) square file digs into the tie straps as a result of its thickness, and also can be deceiving as you eye up the corner. I find it to be the most difficult file to square up a chain with.
The double bevel is my favorite. It doesnt flex like a single bevel, and is easy on the eyes as you line up the corner.
The first three pictures of files show the differences these files have
http://www.baileysonline.com/Chainsaw-Chain/Files-Filing-Accessories/Square-Chisel-Chain-Files/