The metallurgists on the forum will probably correct me but I believe that the 'high strength steels' means high carbon steel which is more prone to corrosion than medium or low carbon steel.
I don't think there's a difference that is all too noticaeble. High carbon = less iron oxide = less rust. In theory!
It just means that a slightly thicker gauge of steel is required to achieve the required strength.
Actually, the opposite applies.
Professional roll cages are made from something called T45 tubing. 3 times lighter than CDS m(cold drawn steel), twice as strong as CDS and 3 times the price! It distorts less when welded (bonus!) too. The equivalent sheet steel (spec name eludes me at the mo) used on chassis mods and strengthening has the same qualities.
The obvious difference is that the higher grade steel is stringer, so less is needed to achieve the desired effect compared to cheap-sh1t steel.
The carbon content is considerably higher than the cheap-sh1t steel used to build 95% of all cars (excluding the likes of Aston Martin, Ferrari, mid to high end Mercedes, BMW, Audi, SAAB etc).
That's one reason why 'premium' brands cost more. They rust less and stay stronger for longer, ergo, you're in a safer 'cage'.