It's been 15 years since I've been involved with helping the automakers with exhaust design. Back then the trend was for American automakers to switch the 409 stainless steel. The Japanese automakers were already using 300-series stainless steel, which is superior to 409. 409 ss has the bare minimum of Cr to make the material corrosion resistant.
One way tell which you have is to use a magnet. The magnet will attract 409 ss (and the familiar aluminized steel), but not 300-series stainless.
Recently, there's been a breakthrough in titanium production, which now makes the raw material cheaper than before. I understand Ti is superior to stainless steel for corrosion and weight in automotive exhaust systems. Corvette is showcasing this technology.
I was also involved with flex coupling post-test analysis after corrosion testing. I'm not sure how they fare in real life, but they suffered horribly because the braided outer cover acted as a poultice for corroding the bellows. The bellows suffer from corrosion-assisted fatigue, even on an Inconel outer layer, which is superior to 300-series stainless for hot corrosion.