When you pay attention to how a steel sharpens up (how easily, and on which abrasives, and if burrs/wires are a factor), versus what you see in the elemental composition, after a while you'll begin to notice patterns of behavior in (apparent) association with the steel's chemistry. Assuming a decent heat treat (reputable makers, in other words), it becomes easier to get a feel for how a steel might behave, based on the chemistry.
I've seen some value in looking at the elemental composition, especially in regard to more abrasion-resistant steels. When carbon gets very far above 1%, and vanadium above maybe 2% or so, it's not hard to understand why some of them don't sharpen up easily on simpler abrasives. I didn't start really paying attention, until AFTER I'd spent a lot of time attempting to re-bevel steels like S30V and D2. It didn't take long to begin to understand why these steels seemed so much more difficult, once I started paying attention to the ingredients contributing to the carbides in these steels.
Similarly, a low/mid-grade stainless steel like 420HC has a relatively low percentage of carbon (0.5%, give or take), and usually little/no vanadium, leaving the chromium content to primarily influence carbide content. After seeing how these steels tend to be ductile at mid-to-high 50s RC (wire edges that don't break off as easily, but bend/fold instead), similar behavior can also be seen in other steels with similar composition. Burrs/wires are almost a given, but it doesn't take too much effort to gently abrade them away. Throw in some molybdenum at 1% or higher (which adds toughness at higher RC), and I also see a similar pattern among steels like ATS-34 and VG-10, which are still very ductle, but often at somewhat higher hardness (high 50s to 60+ RC). This means (to me) the burrs/wires on them still tend to be very 'bendy' & stubborn, but even stiffer and harder to clean up.
At the simpler end of the scale, basic carbon steel with ~1% or more carbon (like 1095 or Case's CV), and very little or none of the other carbide-makers like chromium or vanadium (usually less than 1% each), are usually very easy to sharpen up, because their abrasion-resistance is very low (which means simpler abrasives can be used to sharpen them). But, they still hold their edge well (edge doesn't deform/bend as easily), due to the higher carbon content. Burrs/wires are usually very easy to clean up, due in part to the minimum or lack of chromium.
Keep looking at the charts, and keep sharpening a variety of steels on a variety of abrasives. After a while, if you're paying attention, you'll start noticing patterns.
David