Yep, your method will work, but, it seems like a lot of extra work. You mentioned straight wall cartridges and mostly, they do not grow, so trimming every time is a waste of effort (along with champhering/deburring). Also I haven't been able to determine any benefits of scraping primer pockets clean (reloading handgun ammo for 25+ years). My method is a quick inspection for obvious flaws. Toss in tumbler. Closer inspection as I size/deprime. Many times I will now prime and put the brass in 50 round boxes, and store them, all ready for a load. BTW, I check each cartridge as I go through the steps; look at the case as I put it in the size/decap die. Look at the case as I prime it. Look at the primers as I put the brass into the box, etc, all through the process. Lot less OOPS! that way...