Carl, the 1/8th-to-1/4" variance in lengths may be due to any of the following factors -- or a combination of them:
1- Does a length measurement include the copper fuzeplug, or not?
2- In some cases, the Broun shell's iron base extends below the sabot, and some people measure the length from the sabot's lower edge upward, excluding the base's projection.
3- Even on shells whose iron body is the exact same length, the sabot's length varies, probably due to "inexact" lathe-trimming work.
I currently own two VA/NC 3" Broun long-pattern shells, both with a wooden fuzeplug. The length of both is 8.0-inches. The sabot-length on one is .88-inch and the other is .925-inch.
In the photo you posted, showing VA/NC 3" Broun short and long-pattern shells side-by-side, the long-pattern's sabot appears to be shorter than the other sabot. Perhaps my eyes are deceiving me. Please measure the sabot width on both, and report the measurement.
Regards,
Pete