Why, specifically, do you believe the eze-lap is better than the lansky or tiemco?
Even though you didn't ask me, I'll throw in my $0.02 anyway...
😉
"Better than" aren't the correct words, "good enough" is...
I'm not using my EZE-Lap it to sharpen high quality tools. I use it for touching up hook points in the field on a fly that won't last me the rest of my life so it is "good enough."
I have much better sharpening stones for knives and tools that stay at home.
I'm also a fan of the EZE-Lap because it's small, takes up no room, has a pocket clip and is durable. The other thing I like about it is I can touch-up the INSIDE of the hook point, not just the outside because the rod is a small diameter. That allows me to triangulate a hook point if I wish.
That is sometimes a necessity if I get snagged on a rock and the end of the hook point bends.
Finally, they last me a long time, they are cheap so I replace them if needed, I never had one rust or break and I can't say that about ceramic sharpening rods and again, I'm talking about field work.
I should add that I check my hook points frequently when fishing subsurface or if I miss hook-sets. ALL of my other hooks whether on flies, lures or bait hooks are high quality Japanese hooks that only need sharpening if I get snagged on a rock. That means I don't need a hook hone often.
I ONLY use old Mustad hooks (3399) for classic wet flies which I look at more than I fish so my needs are different however, I used to use Mustad hooks (3906, 3906B, etc.) and when I did I used an EZE-Lap.