I don't have the barrel removal/replacement problem on most of my lefevers. There is one HE Grade large hook version that I do have the problem with.

Manipulation of the top lever does no good. Then I took a look at the action lugs and noticed the part that actuates the extractor was blocking the gap between the two parts of the lug.

Extending the extractor/ejector released this part which could then be pushed back toward the muzzles to open the gap so it will accept the cocking hook. Works on mine. I suspect it is a wear problem...Geo