The transmissions are identical. The problem you mention isn't caused by the transmission, but the clutch. When the clutch doesn't release completely and immediately, the trans input shaft is still being driven by the engine. When you put the trans in first gear, the shaft is brought to an immediate and harsh stop since the output shaft is of course not moving. It's called clutch drag, and it's common with Harleys. It can be improved with clutch adjustment and better fluid choices, if the clutch plates aren't out-of-flat or there is some other physical problem. Since yours gets better once it's warmed up, I doubt it's a warped plate problem. Another potential cause of drag is an over filled primary. Make sure the primary fluid barely touches the bottom of the clutch with the bike sitting level.
In the meantime, on that first engagement when cold I suggest you pull in the clutch lever, give the throttle a quick blip to help break the plates loose, then let the engine come back to idle for 5 to 10 seconds before slipping the bike into first gear. Allowing the input shaft to slow down before shifting into first is the key to eliminating that harsh engagement.
Jerry