As Josh said, I mainly use it on belts, but have used it on WEPS as well … when called for.
And, important to note, the wood is soft .. you might be right Josh, Balsa most likely, I like the cheapo sticks as they give quickly.
I find it, as well as the hard felt cube, stops the problem of shifting the burr side to side.
PITA knives, a paper wheel actually will curl the wire off 
PLEASE NOTE!!! With those blocks, knife in hand or in vice … BE CAREFUL!!!
Especially when knife in hand, block in other … my bad habit … easy to get overzealous with too much pressure as the tip passes through. Do it with the block held down, and lightly, its meant for the final stages.
That’s the thing, there are all sorts of methods and means to the end, soft wood is just one, and also applicable to the “right” metals or sharpening results.
One great use for wood .. saving time.
I am not talking about critical precision specs on a Sebanza.
I’m talking more primarily from a business aspect, like when you have 30 blades to do, all a variety of metals (good and OMG this sucks!)
It’s got to get done, and you’re gonna batch them.
AND, they look like all re-profiles and you know some the metal is fatigued, you just don’t know yet how bad.
In the primary stages, each knife reacts different say on a belt.
You see it, feel it, hear it.
The wood not only helps knock off the burr, but also lets you know how good the metal is in your hand, allowing you to have an idea of what it will take to get to the end product.
For me, if fatigued, I’ll notice it in how the metal flakes off, not shears off. I go back to re-profile and wood till I hit paydirt and see the difference and feel it.
Once the batch is at the re-profiled and mostly deburred stage, I have a base level and idea of what I’m in for and a plan of attack.
Then sharpen accordingly on WEPS or whatever you like.