There is another video on U tube showing the removal of the old lift section from this same site. The old section was blue-green color and no counter weight. Work was very slow, placing on a temporary support as it sat inclined. No barge tilts then.
It would appear that the intent for the new section transport to the bridge site would be with the section sitting in exactly the same leaning position as it sat on its
first barge, probably with a re-use of its temporary supports, out in front of the far crane, parallel to barge.