Interesting q., because as
@Rangen pointed out, the terms 'loading', 'glazing' and 'clogging' get used in slightly different ways by different people, to mean slightly different things. Below is just how I use the terms, other people may be different.
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Clogging - Very few stones are prone to clogging; only quite hard ones that cut on porosity, Washitas and India stones come to mind. Swarf can become embedded
within the pore structure and reduce their efficacy. This is why oil is preferred for them, because it has a lower surface tension than water and is better at cleaning the stone in very small pores.
Glazing - Is when the abrasive on the surface of the stone becomes rounded through use. This tends to happen on natural stones for two reasons; firstly Silica is softer than Aluminium Oxide and Silicon Carbide, secondly natural stones are usually relatively hard in comparison to synths. Synths are specifically designed to release abrasive, so the surface doesn't glaze. You
can glaze the surface of synths, but it's rare. India stones can glaze because they're insanely hard. Or if you try flattening harder waterstones (Shaptons &c.) with AlOx sandpaper - that'll cause them to glaze, because the two abrasives are same Mohs hardness.
Loading - This I imagine is what your q. was mostly about
@mengwong, and it's slightly more complicated than the previous two. Sligtly more difficult to know exactly what's going on, but it seems like the binder and swarf kind clump together and stick to the surface of the stone. Looks like little black spots and feels almost a little bit bumpy. I've only ever seen this on synthetic stones, famously the mid and higher grit Superstones which load in seconds. But steel type also affects this, repeated sharpening of cheap stainless for instance will make Shapton Pros load after a while. Pressure plays a part too.
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The quick answer to the original question is what
@M1k3 said above. You'll never encounter these issues with very muddy stones; King Deluxes, Ceraxes &c. But given the premise was also about convenience, that might not be desperately helpful. Muddy stones are often soaking stones, they're messier, and they require flattening more often.
I tend to use a coarser Washita for this purpose, or a combi I made with a Washita and a Crystolon. For a waterstone though, I think the answer (as is so often the case) is: SG500.
Or do what I did yesterday cos one of mine was getting quite thin and I needed some height clearance, so I created the combi that we've all been waiting for. The two best waterstones in the world, lovingly epoxied together, this right here is an SG500 stuck on top of an Ouka: