Mike; I'm curious if there is actually any advantage in this method vs using a snug fitting punch to dislodge the centerband and insert together? Seems to me that pushing up on the insert is much more likely to damage the much thinner end at the threads, even though you are only pushing against the resistance of the insert itself sliding the length of the tube, rather than unseating the metal to metal press fit of the centerband. The insert seems like it would be much more able to withstand compression along it's axis over the full circumference than pressure against the relatively delicate threaded end. In any case the precision of fit between the punch and the inside of the brass tube (or the ID of the centerband) is absolutely critical! If you don't have a nice tight fitting punch, Make one rather than try a looser fit.
Depending on what type of kit was damaged, it might be worth it to pick up the cheapest, gold plated rb kit to scavenge the insert out of. I would much rather lose a 24k RB jr gent than a Jr statesman or jr Emperor.
I know one thing, I'm not going to try it unless absolutely necessary! I don't like killing kits.
James