I'll throw it out there, a few years back I had a couple bad batches of Tula. They shot like shit in my Saiga and would regularly short stroke or jam. The jams were spent case stuck in the chamber, and required a cleaning rod to knock out..
I found many of the case necks were out of spec, and cases seemed to have no polymer coating at all, some had noticable surface rust. Many were so undercharged that they would short stroke, with visible weak ejection or FTE/FTF.
There were more than a few people that had same things going on around the same time (2011-2012) with the Tula .223.
OTOH I've put many hundreds of rounds of newer Barnaul-manufactured Wolf through it in a single range session, often forgetting to lube the rifle at all, and it chugs through them no issues. I've also had zero issue with the newer Wolf stuff in ARs.
I would look at the ammo first, and in the future when buying steel-cased .223 I would really suggest you seek out Barnaul-manufactured .223 - e.g. Wolf, Silve/Brown Bear, etc. Most of the Tula I had problems with, and some older Wolf as well, were manufactured at Ulyanovsk.
The Wolf Military Classic also feels more stout than Wolf black box .223, it feels the same as M193 side by side. Even when the two have the same Barnaul headstamp, I suspect they are loading the Wolf MC to 5.56 spec but I cannot verify this as I don't own a chrono.
I have scrubbed the chamber on the Saiga maybe once. It doesn't seem to need it. Have never had a single ammo failure of any type after those bad lots of Tula.