Right now i'm looking at a PT Quad. I'd have to dig out the Eos, to be sure, but i'm guessing the Eos has a bracket that is similar to the Quad. Wait...
this just in...
hopped over to the PTec website and checked out the various views of the Eos. It's bracket looks similar to the Quad's, and so,...
why cut the strap? either the hinged bracket is already "split" for easy removal of the strap, or it is an easy matter to cut the bracket.
I cut many headlamp brackets to remove the top bucket strap. I use either a small pair of racheted pruning shears which i borrow from my wife's gardening equipment, or i use a pair of Sears Roebuck/Craftsman utility shears which have razor blade-like cutting inserts.
They go through both hard and soft plastic very easily.
I will often cut a very small, offset from center, notch to make getting the strap in and out easier. If you offset the cut or notch from the center, then it is easier to get the strap in and out if the strap is nearly as wide as the bracket.
hope this helps.