Regarding Stainless Steel verses Steel.
1) Stainless steel isn't stainless, just rusts slower on most types. Everything except 316 rusts and even then... The PH stainless steels come close to 316 with higher strength though.
2) The most "stainless" of stainless steels have very poor tensile stress and edge holding ability.
3) High Grade steel will Always obtain a better harder edge than any stainless steel with more fracture toughness.
Critical need is to keep crampon edges on said Teeth. 3 steps on the ice and all of said "surface" rust is gone anyways. Besides if you do much ice climbing you will need to have a file handy for even a vanadium based steel such as 9430.
If its 440C stainless, the hardest stainless steel, followed closely by 13-8PH, then to start with its the least stainless of stainless steels and second of all its still not as good as a good grade steel for durability on sharpness of your points.
I know for a fact that all of the steel crampons I have seen are made from poor steel. If it was a decent steel, then no one would even talk about stainless steel crampons.
Also, if they designed said crampons for weight instead of cheepest flat plate stainless or steel they can find to drop forge, then they would be far lighter than they are today, and they would last far longer on their points than they do today. This costs $$$.
Its all about $$$$$$$$$$$$$$$$$$$$$$$$. High grade steels generally do not come in flat sheets let alone plates easily drop forged into your 12 point crampons. This limits them due to cost to lower grade steels. If this is the case, as I am 99.999% confident it is, then obtaining 440 series sheet stainless, have a bunch in my garage, would indeed be a step up from said horribly inferior grades of steel typically used. 440C SS is a PITA to bend though without cracking it. Requires Lots of heat and massaging of said bend.
Of course if this is 304 or 306 stainless steels then this will be just as poor or even poorer for point durability than cheep grade steels drop forged and "Heat Treated" to 120kps or so or even to 200kpsi if its say 1020 Steel. Of course no crampon I know of has even 1020 Steel or 1080 HT to that high of a tensile strength and Hardness. Of course if they were, said teeth points would be likely to crack off as said cheep steel is very brittle when they are that hard. That and the HT to obtain that is far more expensive.
SS should be PR BS, but since most if not all crampons are made from garbage steel, it could possibly be better only if they use the best hardest to bend Stainless Steel 440C.
PS. Those steel crampons don't have a coating on them. Some out there are painted, not even close to the same thing. It might be a powder coating though as its not like the last few times I walked into a climbing shop I went "looking" to see exactly what was used on an item I already own and wasn't about to buy.