I have both with the straight shaft, and have used them for almost 2 years.
Everything that has been said about the Hunter tool, both good and bad, can be said about the Eliminator. They have the same style cutter, and make the same type cut. The difference is in the tool shank. The Eliminator has a 3/4" shaft that is tapered down to a smaller diameter cutter tip, and has two flats milled along its length to automatically orient the tool at a 45-degree presentation to the wood. The Eliminator is longer and is turned down to 1/2" at the end to accept a tool handle. The Hunter I have has a 1/2" diameter straight shaft.
Which one you prefer would be a matter of personal preference. Having used both, I personally prefer the Hunter because it doesn't have the flats and I can orient the tip to the wood any way I want without the flats getting in the way, and the straight shaft allows me to make any tool length I want with a Oneway tool handle.
To me, the Eliminator is too long with a handle attached to the 1/2" stub on the end, and a handle with a 3/4" bore that will grip on the tool shaft is way too big and heavy. I usually use it as-is without a handle.
Note that my preference is based on the tool shaft and the handle attached to it, and not the cutter. The cutters are the same and do the same thing.
Others will have a different answer to your question.