I can only tell from what I see on knives that I see from customers, but those edges get significantly thicker.
Also I know how long it takes me to set an edge on a shapton pro 5k on a knife ground to zero and it's not really long. So stones just wear a lot quicker in comparison to the honing rod would be my assertion.
A Belgian blue is somewhat similar to the shapton I quoted I'd say. I know the Belgian blue, but don't know for certain which grit it compares to best on the Japanese water stone scale. Maybe someone knows and can elaborate on that.
The 1.2519 I use is heat treated by me to 65hrc and my Apex ultra to 67hrc. Both work great with the micro honing rod from F. Dick.. Works great on stainless steels like 14c28n as well.
It doesn't work on high alloy tool steels like m390 or magnacut though. And they don't even need to be as hard for it to not work very well or not at all. That's due to the high carbide volume of those steels.
Generally I'm not a big fan of a pull motion used to sharpen edges. Pulling the edge over any surface, a stone or a leather strop, will raise a burr. That's exactly what we want to prevent when sharpening.
An edge set like that, in a pulling motion producing a microscopic burr, will perform a hanging hair or kitchen towel cutting test very well, and will therefore perform great under those circumstances, but one can imagine how easy that burr will fold or roll once the edge hits the board.
In addition to that a leather strop will round the complete edge over time, producing completely uncontrolled angles on the secondary bevel. Yet I'd prefer the leather strop for maintainance over water stone maintenance as it also wears very little overall.
The fine honing rod on the other hand with its hard surface, will produce some variance in edge angle as well, since it's hand guided, but that angle will be in a much narrower windows than with the leather strop.
A good cutting edge, in my opinion, should be produced with an edge leading motion to break the burr off and produce an, in cross section, triangle looking Apex as good and closed within itself as possible.