I personally don't own one, but from what I remember reading from posters here, it is one of the lesser finicky Super Lights like the Hornet. Most reports from members that have had a hard time were from 243 SL Handi owners, but even these barrels have proven themselves to be shooters lately with a little TLC.
I believe if (or course given everything has been done right form the factory) the lock up is tight, no side to side play, and there is a good forearm with no extreme pressure points, in a Handi it should be able to perform well. It may take handloading to cater to it, but then again it may not..
Heck buy one and if your not happy with it sell it in the classifieds. We all have our projects and are looking for another barrel to work with....
-Aaron