The Edgemaker Pro is really just a V-shaped steel. It will remove a tiny amount of metal, more than a regular steel will, but it's not going to give you a great edge. It'll just "feel" sharp to you. They're ok for touching up an edge out in the field.
I don't think that you're really getting a good working edge on the blade. I agree with the others, you're getting a wire edge and breaking it off while you cut.
I've got 10 different Frosts knives from Mora's to Fish and Fillet's, and they will all take and hold a razor sharp edge. Good steel and good heat treatment on them. For what you pay, you get more than a 100% return on the investment.
You don't need or want a knife with a thick blade for processing deer. A good, thin, sharp blade will do it all. It'll split the rib cage easily too. Use an axe or a saw on the pelvis.
If you think about it, the professional meat processors use knives that are really thin and easy to sharpen. Most of those blades are around 1/16" thick, not much thicker than a fillet knife. Some might be close to 3/32" Almost all of them are flat ground too.
I have a Lansky system and love it. Sharpen anything, fast and razor edged. I also have a Chef's Choice Pronto Diamond Sharpener that works pretty well too. It's a pull through, but it uses diamond coated wheels that rotate as you pull through. It will put a shaving sharp edge on a knife as long as it's thin enough to fit in it. I mostly use it for kitchen knives and fillet knives. It's still not as good as using a stone set though. It's attributes are "quick and easy".