The web service copySiteContent does not work with Lessons pages. Pages are copied but they are with default content in destination site. Contents are not migrated.
Looking in SiteAction, it seems that the code is a bit obsolete in copySiteContent. There have been changes in SiteAction not included in the WS.
We were in a hurry, so I have developed a new WS only to copy Lessons pages, having that the other tools seems to be migrated fine.
The WS depends on
LSNBLDR-526 to work properly. If not, a NPE will be thrown, though some contents (or all) may be correctly migrated.