In my original comment, I said to TRY IT AND SEE IF IT WORKS. In your pistol, it might not; but if it does, there is absolutely no reason not to use it. The steel used in the cases is just about as soft as brass; if it were not, it would not expand to seal off the chamber. Steel has been used for decades without harm to extractors, and if your extractor breaks while using steel cases, it would have broken eventually using brass. It's a fault in the extractor, not in the case material.
As far as being dirty -- some ammo is dirtier than others. So what? Cleaning is a routine part of gun usage. If Tula or any other brand produces a bit more soot than another in a shooting session, I'm still cleaning the same way I would after using the less-sooty stuff.