And, my personal, entirely subjective experience with steel cased ammo:
In the early-mid 2000’s, I took several high round count classes. Since steel cased ammo was cheap (under $90/1k rounds for 9mm, and usually around $150/1k for .45, and $200/k for .223/5.56)...I ran a lot of steel. I don’t recall a single stoppage/event directly attributable to steel cased ammo.
In fact, I decided to see if steel ammo would choke/damage a pistol; I chose a Gen2 Glock 21 .45; a well-used police surplus pistol I was able to pick up cheap. It was fairly dirty when I got it; I did not clean it, just lubed it at the usual spots, with a normal amount of lube...and ran it HARD.
Many thousands of rounds went through it, all steel—Wolf, Silver/Brown Bear, Tula. At, iirc, between 2 and 3k rounds, it got sluggish, and started to FTFeed; I pulled the slide, whacked it on the bench to knock out the worst of the crud (it was CAKED with residue), put a few drops of lube on the rails, barrel, etc, and put it back to work...no issues.
I never broke an extractor, and I don’t recall a reduction in accuracy. I sold it after about 5k rounds to a friend's son (after a detail strip, deep clean, and a new extractor that I installed for good measure).
It is still running today, but has had a Lone Wolf barrel installed to facilitate lead bullets.
TL: DR:
Steel might damage your weapon, but you're going to have to run a crap-ton through it to get to that point.
So run the steel.