I had a coned breech on a Time. The cone would crack on the far side of the cone. It happened to a Shilen barrel and a Lilja barrel. I suspect it cracked because it was so thin and the pressure from the extractor to snap over the rim of the brass was the culprit. I had two well known gunsmiths on this board have a shot at it to no avail. One of them repaired it three times on the same barrel. It was a sweet shooting rifle, I did really well with it, but when the crack started it wouldn't shoot straight.
I gave up and sold it. The new owner knows the issue.
It's not cracked right now but I never shot it after the last repair. The new owner hasn't shot the rifle yet because of the weather.
I wouldn't have another coned breech ever again.