I'm so anal about it I do them all on a single stage press. Call me a reactionary but I just don't trust those fancy shmancy progressive jobs.
I learned my reloading chops on a RCBS Rockchuck many years ago. There’s a lot to recommend a good single-stage press. Slows you down, makes you think about what you’re doing.
Having said that, I surely do like the Hornady progressive using their Lok ‘n Load dies. I bought mine about 12 years ago. It does save time, and the caution learned from experience makes it a safe proposition. I still weigh every 20th powder drop, though, depending on what I’m running. And eyeball everything.
Unless one chooses the round, powder and pill to prevent double or over-charging, I heartily agree with you on the single-stage press.
If we’re talking about something like 9mm and the right powder, you can basically fill the case to the mouth, use a steel rule to wipe the excess off the top and stuff a pill on it.
But the older rounds like .45 Colt, .45 ACP, .38, etc... I like to inspect and observe every last one of those, every time.